Answer:
(1) The relationship between the altitude height, 'h', and the orbital speed, \(v_{orbit}\), of the satellite is an inverse relationship
\(v_{orbit}\) = 1/(h + R)
(2) The height of the satellite, is approximately 24,442 meters
(3) Please find attached the drawing showing the two lines that indicate the direction of the gravitational force on the satellites created with Microsoft Visio
Explanation:
(1) From the given data table, as the altitude increases, the orbital velocity decreases, therefore, the relationship between altitude, 'h', and orbital velocity, '\(v_{orbit}\)', is an inverse relationship which can be expressed as follows;
\(v_{orbit} = \sqrt{\dfrac{G \cdot M}{r} }\)
Where;
G = The universal gravitational constant
M = The mass of the Earth, or planet about which the satellite orbits
r = The distance between the center of the planet and the satellite = h + R
R = The radius of the planet
When \(v_{orbit}\) = 27,500, h = r - R = 1000
We have;
\(v_{orbit}\)² ∝ 1/r
\(v_{orbit}\)² = k/r = k/(R+ h)
When, \(v_{orbit}\)² = 27,500² = 756,250,000
r = h + R = 1000 + R
∴ 756,250,000 = k/(1000 + R)
(1,000 + R) × 756,250,000 = k
When, \(v_{orbit}\)² = 18,000² = 324,000,000
r = h + R = 10,000 + R
∴ 324,000,000 = k/(10,000 + R)
324,000,000 = ((1,000 + R) × 756,250,000)/(10,000 + R)
∴ 324,000,000×(10,000 + R) = (1,000 + R) × 756,250,000
R × (756,250,000 - 324,000,000) = 324,000,000×10,000 - 1,000 × 756,250,000
R = (324,000,000×10,000 - 1,000 × 756,250,000)/(756,250,000 - 324,000,000) = 5746.09600925
R = 5,746.09600925
k = (1,000 + R) × 756,250,000 = (1,000 + 5,746.09600925) × 756,250,000 = 5.1017351 × 10¹²
k = 5.1017351 × 10¹²
(2) When, \(v_{orbit}\) = 13,000 m/s, we have;
13,000² = 5.1017351 × 10¹²/(5,746.09600925 + h)
∴ 5,746.09600925 + h = 5.1017351 × 10^(12)/(13,000²) = 30187.7816568
h = 30187.7816568 - 5,746.09600925 = 24,441.6856476
The height of the satellite, h ≈ 24,442 meters
(3) Please find attached the drawing showing the two lines indicating the direction of the force of gravity exerts on the satellites created with Microsoft Visio.
A body of mass 3 kg and volume 4 x 10^m' is hung from a balance
graduated in Newton. What is the reading of the balance when the
body is
a. In air;
b. Fully immersed in water
immersed in water.
Answer:
it's b I guess not sure
Explanation:
The reading of the balance for a body with mass 3kg and volume 4 × 10⁻⁴ in air and when fully immersed in water are 29.4N and 25.5N, respectively.
What is weight?
The weight of an object is the force which is acting on the object due to the influence of gravity. Weight is a vector quantity because it has both the magnitude and direction. The gravitational force acts on the object.
The reading of the balance when the body is in air, W = mg = (3) × (9.8) = 29.4 N
The reading of the balance when the body is fully immersed in water is:
F = mg − ρgV = (3) × (9.8) − (1000) × (9.8) × (0.0004) = 25.5 N
Therefore, the reading of the balance in the given conditions are 29.4N and 25.5N.
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Which type of bond and how many bonds would occur as carbon dioxide.. (CO2) is formed from carbon in Group IVA and oxygen in Group VIA?
A. three metallic bonds
B. two ionic bonds
C. one covalent bond
D. four covalent bonds
Anything helps.
Answer:
four covalent bonds is the answer
a 275-kg glider is being pulled along by a 2,000-kg jet. the system accelerates to the right at 2.2 m/s2. how much thrust is provided by the jet's engines, in newtons?
The amount of thrust provided by the 2,000 kg jet's engine to 275-kg glider is 5,005N.
Thrust is defined as the reaction force described quantitatively by Newton's third law. When the system expels or accelerates mass in one direction, then it feels same acceleration in reverse direction.
We know very well that if a body is moving with some acceleration a and having some mass m then, change in momentum of that body is equal to force applied on the body by the ground surface.
In other words, F = ma
where m is mass and a is acceleration of the body
Total mass of the combined system =mass of glider + mass of jet's engines
=275kg +2000kg
=2275Kg
Acceleration given as 2.2m/sec².
So, on putting both of values.
=>F=2275×2.2
=>F=5,005 Kg-m/sec² or
=>F= 5,005N
Hence, amount of thrust provided is 5,005N.
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Which of the following correctly lists the substances from highest to lowest pH? о O O A lemon juice, distilled water, milk of magnesia Jhy B. distilled water, milk of magnesia, lemon juice C. lemon juice, milk of magnesia, distilled water D. milk of magnesia, distilled water, lemon juice
Acidity is indicated by pH values lower than 7, while baseness is shown by pH values higher than 7. The pH of water is actually a measurement of the proportion of free ions of hydrogen and hydroxyl that are in the solution.
What is the suggested example?The souls were shown by him. He pointed to the nicely arranged clothing on the nightstand next to the bed. They still lacked one goat, according to a hasty count.
Which value is indicated?The monitored value from the a transaction file that the monitor reported for a known amount of the specified Parameter. Precision is determined by comparing this value to the known quantity known as REAL VALUE.
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A _ is a measure of the _ in a wave. The greater the waves _ the more _ it has.
A amplitude is a measure of the energy in a wave. The greater the waves amplitude, the more energy it has.
Give a short note on amplitude?Amplitude is a measure of the energy or intensity of a wave. In physics, it is defined as the maximum deviation of a wave from its average position or equilibrium state.
In the context of sound waves, amplitude refers to the loudness of a sound. A sound with a high amplitude is louder than a sound with a low amplitude.
In the context of light waves, amplitude refers to the brightness of a light. A light with a high amplitude is brighter than a light with a low amplitude.
In the context of mechanical waves, amplitude refers to the maximum displacement of a point on the wave from its rest position.
In summary, amplitude is a measure of the energy or intensity of a wave and is represented by the maximum deviation of a wave from its average or equilibrium position.
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What is the gauge pressure of the water right at the point P, where the needle meets the wider chamber of the syringe
The gauge pressure of the water at point P, where the needle meets the wider chamber of the syringe, is determined by the height of the water column above point P and the atmospheric pressure.
The gauge pressure is given by the equation:
\(\[P_{\text{gauge}} = P_{\text{abs}} - P_{\text{atm}}\]\)
where \(\(P_{\text{abs}}\)\) is the absolute pressure at point P and \((P_{\text{atm}}\)\) is the atmospheric pressure. The absolute pressure at point P can be calculated using the hydrostatic pressure equation:
\(\[P_{\text{abs}} = P_{\text{atm}} + \rho gh\]\)
where \(\(\rho\)\) is the density of water, g is the acceleration due to gravity, and h is the height of the water column above point P.
Since the gauge pressure is the difference between the absolute pressure and atmospheric pressure, the gauge pressure at point P is:
\(\[P_{\text{gauge}} = \rho gh\]\)
Therefore, the gauge pressure at point P depends solely on the height of the water column above point P and does not depend on the atmospheric pressure.
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What is the temperature increase of 4.0 kg of water when heated by an 800-W immersion heater for 10 min? (cw = 4 186 J/kg⋅°C)
a. 56°C
b. 51°C
c. 29°C
d. 14°C
Option (b.) 51°C
Explanation:
First, we need to calculate the amount of heat energy supplied to the water by the immersion heater using the formula:
Q = Pt
where Q is the heat energy (in joules), P is the power of the immersion heater (in watts), and t is the time (in seconds).
We need to convert 10 minutes to seconds:
t = 10 min x 60 s/min = 600 s
Now we can calculate Q:
Q = 800 W x 600 s = 480,000 J
Next, we can use the formula for specific heat capacity:
Q = mcΔT
where m is the mass of the water (in kilograms), c is the specific heat capacity of water (4,186 J/kg°C), and ΔT is the temperature increase (in °C).
We can rearrange this formula to solve for ΔT:
ΔT = Q / (mc)
Substituting the values we have:
ΔT = 480,000 J / (4.0 kg x 4,186 J/kg°C)
ΔT = 28.8°C
Therefore, the temperature increase of the water is 28.8°C.
But remember, the question asks for the temperature increase of the water, not the final temperature. So we need to add the initial temperature of the water to ΔT:
Initial temperature of the water is not given, but assuming it is 20°C (room temperature),
Temperature increase = 28.8°C + 20°C = 48.8°C ≈ 51°C
Therefore, the answer is b. 51°C.
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A car runs for about 10 years during its average useful life. If the odometer reads 120,000 miles at the end, what was the average speed of the car in mph
Answer:
12000 mph
Explanation:
Given that,
Distance read by the odometer = 120,000 miles
Duration of car, t = 10 years
We need to find the average speed of the car. Speed of an object is equal to the total distance covered divided by total time taken. So,
\(v=\dfrac{120000}{10}\\\\=12000\ mph\)
So, the average speed of the car is 12000 mph.
In your own words, describe how an object's potential energy can be affected by its position.
Answer:
Explanation:
The higher the object is relative to some defined baseline (like the ground), the greater the potential energy.
Potential Energy = U = mgh
U is directly proportional to h (height of the object), so the greater the h the greater the U.
according to the big bang theory the entire universe began as a
According to the Big Bang theory, the entire universe began as a singularity - an extremely hot and dense point in space-time. About 13.8 billion years ago, this singularity began to rapidly expand, creating all matter and energy in the universe and eventually leading to the formation of galaxies, stars, and planets.
The Big Bang theory posits that the universe began as a singularity, a point of infinite density and temperature. This singularity rapidly expanded, causing a rapid cooling and the formation of particles like protons, neutrons, and electrons. As the universe continued to expand and cool, these particles began to form atoms, eventually leading to the formation of stars and galaxies. The Big Bang theory has been supported by a range of scientific observations and experiments, from the cosmic microwave background radiation to the relative abundance of light elements. Despite ongoing debate and refinement, it remains the prevailing scientific explanation for the origin and evolution of the universe.
In conclusion, the Big Bang theory suggests that the universe began as a singularity that rapidly expanded and eventually led to the formation of all matter and energy. This theory has been supported by a wealth of scientific evidence and remains the prevailing explanation for the origins and evolution of the universe.
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Why would a tuba have a lower pitch than a trumpet. Be sure to discuss air molecules in your answer!
Answer:
The tuba is the biggest, and among the newest, of all the brass instruments. Tuba players create the low-pitched sound by making a kind of "buzz" with their breath against the mouthpiece and pressing the tuba's valves to form notes.
Explanation:
in other words it because less air molecules are abloe to go through the mouth peiece of the tuba
A fly in a room is flying on a bearing of 204, degrees,204
∘
at a speed of 0, point, 36, m, s, to the power minus 1 ,0.36ms
−1
. Sunlight streams horizontally westward across a room, forming a shadow of the fly on the west wall. How fast does the shadow move? Give your answer to 2 significant figures.
The horizontal velocity of the shadow is -0.33 m/s
The given parameters;
initial velocity of the fly, V₀ = 0.36 m/sangle of projection of the fly, θ = 204°The horizontal velocity of the shadow is relative to the horizontal velocity of the fly.
The horizontal velocity of the shadow is calculated as follows;
Vₓ = V₀Cosθ
Vₓ = (0.36)Cos(204)
Vₓ = (0.36)(-0.9135)
Vₓ = -0.33 m/s
Thus, the horizontal velocity of the shadow is -0.33 m/s
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A healthy mind and body is important. The decisions you make can have a serious effect on your health and the health of those around you. Think about what you have learned in the module. Use the information from your milestone 1 and milestone 2 projects to help you complete your final project.
Your project should be about the diseases that can be caused by hereditary traits.
Choose a healthy behavior and develop a positive health media message.
TV commercial
Radio commercial
Magazine ad
Internet popup ad
Teacher approved idea
Examples of hereditary diseases include heart disease, Type 1 Diabetes, or many other diseases you may have learned about in your interviews.
You will present a message that tries to get people to make health choices that will help them reduce the impact of hereditary disease. Your message can be presented as a video or by using a Web 2.0 tool such as Weebly or Jing.
Your presentation will focus on:
Making people aware of hereditary traits.
Getting people to make good health choices to help lessen the risk of hereditary disease.
Answer the following questions to help you get started on your project:
What is the purpose of your media message? (to inform or persuade)
What type of medium is it? (commercial, advertisement, or teacher approved)
Who is your intended audience?
What is the message? (main idea or main points)
What information can be omitted?
What techniques are you going to use to get attention?
(Please put an actual answer please.)
Kevin used a pulley to lift a piano to the third floor of his apartment. His input work was 12,000 J and the output work was 10,000 J. What was the mechanical efficiency of the pulley?
A . 50%
B. 83.3%
C . 120%
D. 16.7%
Answer:
B
Explanation:
Eff = output work/input work ×100
Hence, Eff = 10000/12000 × 100
Eff = 83.3%
20 J of energy transfers 80 mC of charge between two points in a time of 5.0 ms. Calculate:
a. The p.d between the points
b. The current
c. The power used
We can use the formula:
Energy (E) = Charge (Q) × Potential difference (V)
The potential difference between the two points can be found by rearranging the above formula as:V = E / Q = 20 J / 80 × 10^-3 C = 250 V
The current (I) can be found by using the formula:I = Q / t = 80 × 10^-3 C / 5.0 × 10^-3 s = 16 A
The power (P) used can be found using the formula:P = E / t = 20 J / 5.0 × 10^-3 s = 4,000 W
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A RAU80 with 4-lanes and a design radius of 300m requires a spiral-circular curve-spiral transition system, the deflection angle at the Point of Intersection is 16d30m14.0s.
a) Using Superelevation and Minimum Spiral Parameters, emax = 0.06 m/m what is the minimum recommended spiral parameter?
b) Determine the distance P
c) Determine the distance Q
d) Determine the angle Φs
e) Determine the distance Tc
A) Minimum recommended spiral parameter: 150.03m.
b) Distance P: 150.03m.
c) Distance Q: 4.122m.
d) Angle Φs: 16°30'14.0".
e) Distance Tc: 150.03m.
a) Calculation for the minimum recommended spiral parameter:
Design radius (R) = 300 m
Maximum superelevation (e_max) = 0.06 m/m
Spiral Parameter (A) = (R + e_max) / 2
A = (300 m + 0.06 m/m) / 2
A ≈ 150.03 m
b) Calculation for the distance P:
Distance P is equal to the length of the first spiral curve, which is the same as the minimum recommended spiral parameter.
P ≈ 150.03 m
c) Calculation for the distance Q:
Distance Q represents the length of the circular curve. It is given by the formula:
Q = (Deflection angle at Point of Intersection) / (Degree of Curve, D)
Deflection angle at Point of Intersection = 16°30'14.0"
Converting the angle to decimal degrees:
16° + (30'/60) + (14.0"/3600) = 16.504°
Q = 16.504° / (360° / D)
Q ≈ D / 21.814
Since the RAU80 has 4 lanes, the degree of curve (D) is 360° / 4 = 90°.
Q ≈ 90° / 21.814
Q ≈ 4.122 m
d) Calculation for the angle Φs:
The angle Φs is the deflection angle at the Point of Intersection.
Φs = 16°30'14.0"
e) Calculation for the distance Tc:
Distance Tc is equal to the length of the second spiral curve, which is the same as the minimum recommended spiral parameter.
Tc ≈ 150.03 m
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a block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (fig. p7.43). when released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. the spring constant k is what is the coefficient of kinetic friction between the block and the tabletop?
The spring constant k is what is the coefficient of kinetic friction between the block and the tabletop is μk=0.408.
According to the principle of conservation of energy when a friction force acts within an isolated system, we have
ΔE=ΔU+ΔK=F friction d
Uf-Uo+Kf-Ko=-F friction d
Kx²/2=F friction d
the friction force is F friction =μkN=μkmg
Kx²/2=μkmgd
μk=Kx²/2mgd
μk=100*0.2/2*0.5*9.8*1
μk=0.40816
Kinetic friction is the name for a force that exists between moving surfaces. On the surface, there is a force that opposes the direction of a moving body. The amount of force applied will depend on the coefficient of kinetic friction between the two materials.
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an airplane carrying out a parcel drops releases a parcel while travelling at a steady speed of 90 m/s at an altitude of 200 m. caculate a)the time taken between the parcel leaving the airplane and it striking the ground b)the horizontal distance travelled by the parcel in this time. c)the speed at which the parcel strikes the ground
a)The time taken between the parcel leaving the airplane, and it's striking the ground will be 6.38 second
c)The speed at which the parcel strikes the ground will be 62.64 m/sec.
What is speed?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by U for the initial speed while V for the final speed. its SI unit is m/sec.
The given data in the problem is;
Steady speed (V)= 90 m/s
Altitude (h) = 200 m
Time taken (t)=?
horizontal distance travelled(d)=?
Striking speed(V)=?
The striking speed is;
\(\rm V^2=U^2+2gh \\\\ V=\sqrt{2gh} \\\\V=\sqrt{2\times 9.81 \times 200} \\\\ V= \sqrt{3924} \\\\ V=62.64 \ m/sec\)
The time taken is found as;
\(\rm H = ut + \frac{1}{2} gt^2 \\\\ 200=0+ \frac{1}{2} \times 9.81 \times t^2 \\\\ t=6.38 \ sec\)
Hence, the time taken between the parcel leaving the airplane, and it's striking the ground will be 6.38 second
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HELPPPPPP
The force of gravity of objects on the moon is approximately one-sixth of their value on Earth. Joe weights 600 N on earth. Joe's mass on the moon will be approximately______.
a. 60 kg
b. 100 kg
c. 1000 kg
d. 6000 kg
e. 60 N
f. 100 N
g. 1000 N
h. 6000 N
i. nonsense! None of these values are even close.
Answer:
a) 60kg
Explanation:
mass is not affected by gravity
The mass of Joe on the moon is approximately 60 kg. Hence, option (a) is correct.
Given data:
The weight of Joe is, W = 600 N.
The weight of any object is the product of mass and gravitational acceleration of an object. It is the expressed as,
W = mg
Here,
m is the mass of Joe.
g is the gravitational acceleration.
Solving as,
W = mg
600 = m × 10
m = 60 kg.
Thus, we can conclude that the mass of Joe on the moon is approximately 60 kg. Hence, option (a) is correct.
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(A) A small mass of 0.60 kg is rotated at the end of a string in a horizontal circle of radius 1.20 m. The string will break if the tension exceeds 60 N. What is the GREATEST frequency of revolution that is possible? (B) the same mass of 0.60 kg is now rotated at the end of another string at a constant speed, v, in a vertical circle of radius 1.20 m. the minimum tension in the string is 2.1N (I) state and explain where the tension in the string is maximum and minimum (ii) find the speed of the mass
(a) The maximum frequency of revolution is 4.0 rad/s.
b (i) The tension in the string is maximum when the object is at the top of its path and minimum when it is at the bottom of its path.
b (ii) The speed of the mass can be found using the minimum tension in the string is 2 m/s.
What is the maximum frequency of revolution?
The maximum frequency of revolution is given by the maximum tension in the string, which is 60 N.
T = mv² / r
where;
m is the mass of the object (0.60 kg), v is its linear speed, r is the radius of the circle (1.20 m).The linear speed is given by:
v = 2πrf
where;
f is the frequency of revolutionf = √T / (mr²))
f = √(60 / (0.60 x 1.20²))
f = 4.0 rad/s
(i) The tension in the string is maximum when the object is at the top of its path and minimum when it is at the bottom of its path. This is because the tension provides the centripetal force that keeps the object moving in a circular path.
(ii) The speed of the mass can be found using the minimum tension in the string, which is 2.1 N:
T = mv² / r = 2.1 N
Rearranging and solving for v, we get:
v = √(Tr / m)
v = √(2.1 x 1.20 / 0.60)
v = 2.0 m/s
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A box is on the side of a hill inclined at 30°. The weight of the box is 40 pounds. What is the magnitude of the force required to keep the box from sliding down the hill?
We will have that the magnitude of the force required is:
\(F=(20kg\ast9.8m/s^2)sin(30)\Rightarrow F=98N\)So, it will need at least 98 N to keep it from moving downwards.
for sound waves in air with frequency 1000 hz, a displacement amplitude of 1.2×10−8m produces a pressure amplitude of 3.0×10−2pa. use vsound= 344 m/s.
The displacement amplitude for sound waves with a frequency of 1000 Hz and a pressure amplitude of 3.0×10^(-2) Pa in air is approximately 3.3332×10^(-6) m.
To determine the relationship between the displacement amplitude and pressure amplitude of sound waves, we can use the formula for sound intensity:
I = (1/2) * ρ * v * A^2
Where:
I is the sound intensity
ρ is the density of the medium (in this case, air)
v is the velocity of sound in the medium
A is the displacement amplitude
Given:
Frequency (f) = 1000 Hz
Displacement amplitude (A) = 1.2×10^(-8) m
Pressure amplitude (P) = 3.0×10^(-2) Pa
Velocity of sound (v) = 344 m/s
First, we need to find the density of air (ρ). The density of air at standard conditions is approximately 1.225 kg/m^3.
Next, we can rearrange the formula for sound intensity to solve for the displacement amplitude (A):
I = (1/2) * ρ * v * A^2
A^2 = (2 * I) / (ρ * v)
A = √((2 * 3.0×10^(-2)) / (1.225 * 344))
A ≈ 3.3332×10^(-6) m
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A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane.What is the speed of the sphere when it reaches the bottom of the inclined plane?A) 3.7 m/sB) 4.4 m/sC) 5.6 m/sD) 6.3 m/s
The speed of the sphere when it reaches the bottom of the inclined plane is (B) 4.4 m/s.
The speed of the sphere when it reaches the bottom of the inclined plane can be found using conservation of energy:
mgh = (1/2)mv² + (1/2)Iω²
where m is the mass of the sphere, g is the acceleration due to gravity, h is the height of the inclined plane, v is the speed of the sphere at the bottom of the inclined plane, I is the moment of inertia of the sphere, and ω is the angular velocity of the sphere.
Since the sphere is rolling without slipping, we can also relate v and ω using:
v = ωR
where R is the radius of the sphere.
The moment of inertia of a solid sphere is (2/5)mr², so we can substitute this into the first equation and solve for v:
mgh = (1/2)mv² + (1/2)(2/5)mr²(ω/R)²
Simplifying and substituting ω = v/R, we get:
v = sqrt(10gh/7)
Substituting in the given values, we get:
v = sqrt(10(9.81 m/s²)(1.0 m)/7) = 4.4 m/s
Therefore, the answer is (B) 4.4 m/s.
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in which phase is the solution defined?
A solution is defined as the homogeneous mixture which has the same composition throughout. A solution can exist in any phase.
What is binary solution?A solution which is made up of two constituents or components is defined as the binary solution. The term solute is commonly used to refer to the constituent that dissolves and the term solvent is one in which the dissolution takes place.
There can be three physical states in which the solutions may exist, there can be three types of solutions: solid solutions, liquid solutions and gaseous solutions. There are solid solutions, liquid solutions and gaseous solutions.
Thus the solution can exist in any phase.
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Which best describes the motion of the object between 1 and 4 seconds?
Answer:The object has negative acceleration and eventually stops.
Explanation:
Answer:not sure
Explanation:
Sorry:(
An AC non motor-generator arc welder on an individual circuit has a nameplate primary current of 100A and a duty cycle of 70%. The branch circuit conductors must be a minimum size ___ AWG THHN copper.
The minimum size of branch circuit conductors of an AC non-motor generator arc welder on an individual circuit with a nameplate primary current of 100A and a duty cycle of 70% with THHN copper wires is 3 AWG.
What is an AC non-motor generator arc welder?
AC non-motor generator arc welder refers to an arc welding machine that runs on alternating current (AC) power and is a transformer that has no motor. An AC generator is used to create electrical power. Arc welding is a welding process that uses an electric arc to melt and join metal parts together. A welding power source can be used to generate an arc between a welding electrode and the metalwork. This electrical arc creates a heat source that melts and fuses metals together.How do we calculate the minimum size of conductors for a welder?
The minimum conductor size required for a welder may be determined using NEC (National Electrical Code) tables. It is determined by calculating the full-load current and the branch-circuit overload protection of the welder. To determine the minimum conductor size for a welder, use the following steps:Identify the welder's primary current value (on the nameplate).Multiply the primary current value by the duty cycle (as a percentage).Divide the result by 0.8 (the NEC table 630.11(A) requirement) to obtain the minimum conductor size.For example, for the given nameplate primary current of 100A and duty cycle of 70%, the calculation would be:
100A x 70% = 70A
70A / 0.8 = 87.5A
The minimum conductor size required is 3 AWG copper THHN wires.
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The minimum size of the branch circuit conductors for the AC non motor-generator arc welder with a primary current of 100A and a duty cycle of 70% is 4 AWG THHN copper.
Explanation:The minimum size of the branch circuit conductors for an AC non motor-generator arc welder with a nameplate primary current of 100A and a duty cycle of 70% can be determined by using the ampacity rating for the primary current. Since the duty cycle is given as 70%, we multiply the primary current by this duty cycle to find the effective current. Therefore, the effective current is 100A * 0.70 = 70A.
To find the minimum size of the branch circuit conductors, we can refer to the American Wire Gauge (AWG) standard, which is commonly used for determining wire sizes. The effective current of 70A falls within the range of common wire sizes. In general, a 70A current can be safely carried by 4 AWG THHN copper conductors. Therefore, the minimum size of the branch circuit conductors should be 4 AWG THHN copper.
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the distance from the front to the back of your eye is approximately 1.90 cm. if you can see a clear image of a book when it is 34.9 cm from your eye, what is the focal length of the lens/cornea system? answer in units of cm.
The focal length of the lens/cornea system is approximately 17.9 cm.
What is Len?
A lens is indeed a transmissive optical tool that uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically arranged along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or moulded into the desired shape. In contrast to a prism, which simply refracts light without focusing it, a lens can focus light to create an image. Lenses are also devices that focus as well as disperse waves as well as radiation other than visible light, such as explosive lenses, microwave lenses, electron lenses, and acoustic lenses.
Lenses are a common component of telescopes, binoculars, and cameras, among other imaging devices.
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Fighter jets on aircraft carriers are accelerated down a 270 foot "runway" in two seconds when they are taking off. A fully loaded, combat ready F-15 has a maximum take-off weight of 62,000 pounds. To ensure the pilot can reach sufficient velocity within 2 seconds a pneumatic cannon propels the plane down the runway. If this same cannon was used to launch your Toyota Corolla (mass is 2646lbs), how fast in miles per hour would you be going after reaching the end of the runway?
The speed of the Toyota Corolla would have been 143.9 mph.
What is the acceleration of the F-15?
The acceleration of the F-15 can be calculated as follows:
Acceleration = Velocity Change / Time = (Take-off Speed) / Time
where;
Take-off Speed = √(2dg /t²)
Take-off Speed = √(2 x (270 ft) x 32.2 ft/s² / (2 s)²)
T = √(17496) = 131.6 ft/s
Acceleration = Velocity Change / Time
= (131.6 ft/s) / (2 s) = 65.8 ft/s²
We can use the same acceleration to launch the Toyota Corolla, and calculate its final velocity:
Final Velocity = Initial Velocity + Acceleration x Time
where;
Initial Velocity = 0 (because the car is not moving initially), Time = 2 sFinal Velocity = 0 + (65.8 ft/s²) * (2 s) = 131.6 ft/s
Finally, we can convert the velocity from feet per second to miles per hour:
Velocity (mph) = Velocity (ft/s) x (1 hour/3600 s) x (5280 ft/mile)
= 131.6 ft/s x (1 hour/3600 s) x (5280 ft/mile)
= 143.9 mph
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which method(s) are based on the gravitational tug a planet exerts on its star and hence can tell us about a planet's mass?
The radial velocity and transit methods are based on the gravitational tug a planet exerts on its star and can be used to determine a planet's mass.
There are several methods that can be used to determine the mass of a planet based on the gravitational tug it exerts on its star. These methods include:
Radial Velocity Method: This method involves observing the star's spectral lines to measure its radial velocity, which is affected by the gravitational pull of any orbiting planets. By analyzing the periodic variations in the star's radial velocity, astronomers can determine the mass and orbital characteristics of the planet.Transit Photometry Method: This method involves observing the periodic dimming of a star's brightness as a planet passes in front of it. By analyzing the duration and depth of these transits, astronomers can determine the planet's size and mass.Astrometry Method: This method involves measuring the small periodic variations in a star's position caused by the gravitational pull of any orbiting planets. By analyzing the magnitude and direction of these variations, astronomers can determine the mass and orbital characteristics of the planet.All of these methods are based on the gravitational tug a planet exerts on its star and provide important information about a planet's mass and other characteristics.
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Which type of investigation is lised to compare two subiects?
Comparative
Experimental
Descriptive