if i measure the speed of a shaft to be 1000 rpm /- 100 rpm, what is the shaft's speed and uncertainty in speed measured in radians/sec?\

Answers

Answer 1

To convert the shaft's speed and uncertainty from RPM to radians per second :


1. Convert the given speed (1000 RPM) to radians per second:
- Multiply the speed by 2π (approximately 6.2832) to convert to radians.
- Divide by 60 to convert to seconds.

2. Convert the uncertainty in speed (±100 RPM) to radians per second:
- Multiply the uncertainty by 2π (approximately 6.2832) to convert to radians.
- Divide by 60 to convert to seconds.

Now let's calculate:

1. Speed in radians per second:
(1000 RPM) * (2π radians / 1 revolution) * (1 min / 60 s) ≈ 104.72 radians/s

2. Uncertainty in speed in radians per second:
(±100 RPM) * (2π radians / 1 revolution) * (1 min / 60 s) ≈ 10.47 radians/s

So, the shaft's speed is approximately 104.72 radians per second, and the uncertainty in speed is ±10.47 radians per second.

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Answer 2

If you measure the speed of a shaft to be 1000 rpm /- 100 rpm, the shaft's speed is 104.72 radians/sec and the uncertainty in speed is ±10.47 radians/sec.

To convert the shaft's speed and its uncertainty into radians/sec.
Step 1: Convert the speed from RPM to radians/sec
To convert RPM to radians/sec, we use the following conversion factor: 1 RPM = 2π radians/minute. Since there are 60 seconds in a minute, we divide by 60 to get radians/sec.
Speed in radians/sec = (1000 RPM) * (2π radians/minute) / 60 sec/minute ≈ 104.72 radians/sec
Step 2: Convert the uncertainty from RPM to radians/sec
Uncertainty in radians/sec = (100 RPM) * (2π radians/minute) / 60 sec/minute ≈ 10.47 radians/sec
So, the shaft's speed is approximately 104.72 radians/sec, with an uncertainty of ±10.47 radians/sec.

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Related Questions

Mars moves in an elliptical orbit around the Sun. The location of the Sun relative to this ellipse is

Answers

Answer:

It is when the focus of the ellipse that is closer to the point where Mars is moving the fastest.

Explanation:

I hope it helps! Have a great day!

Anygays-

please help me with this

please help me with this

Answers

Answer:

the answer is UV Radiation

Which planets are considered jovian? O Jupiter, Saturn, Uranus, Neptune O Mercury, Venus, Earth, Mars O Earth, Mars, Uranus, Neptune O None of the above O Mercury, Venus, Jupiter, Saturn

Answers

The jovian planets in our solar system include Jupiter, Saturn, Uranus, and Neptune. These gas giants are distinct from the terrestrial planets like Mercury, Venus, Earth, and Mars.

Jovian planets, namely Jupiter, Saturn, Uranus, and Neptune, are characterized by their composition and physical properties. They are primarily composed of gases and lack a solid surface. Jovian planets are much larger in size compared to the terrestrial planets.

They possess thick atmospheres with swirling cloud formations and dynamic weather systems. These gas giants also have a significant number of moons and are accompanied by planetary rings made up of dust and ice particles.

Jovian planets are located farther away from the Sun and have lower densities compared to the terrestrial planets. Their unique characteristics distinguish them from the rocky, inner planets like Mercury, Venus, Earth, and Mars.

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The part of the court that divides the two sides in half?

Answers

Answer:

Line dividing each court half into two sides; the center line separates the left and right service zones.

A net force of 10.N accelerates an object at 5.0 m/s^2. What net force would be required to accelerate the same object at 1.0 m/s^2?
A.) 1.0 N
B.) 5.0 N
C.) 50. N
D.) 2.0 N

Answers

Answer:

I believe the answer is 2.0

Explanation:

The net force that would be required is 2 N

From the question,

We have that

A net force of 10 N accelerates an object at 5.0 m/s².

To determine the net force that would be required to accelerate the same object at 1.0 m/s²,

First, we will determine the mass of the object

From the Newton's second law of motion, we have that

F = ma

Where F is the force

m is mass

and a is acceleration

From the given information

F = 10N

a = 5.0 m/s²

Putting the above parameters into the formula, we get'

10 = m × 5.0

∴ m = 10 ÷ 5.0

m = 2 kg

∴ The mass of the object is 2kg

Now,

For the net force that would be required to accelerate the same object at 1.0 m/s²,

Using the same formula

F= ma

Here,

a = 1.0 m/s²

and m = 2 kg

∴ F = 2 × 1

F = 2 N

Hence, the net force that would be required is 2 N

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5. Which of the following is NOT a course goal?
For students to understand fitness principles
For students to establish a habit of physical activity
For students to do nothing
For students to enhance their level of physical fitness

Answers

Answer:

for students to do nothing

Explanation:

because doing nothing is not a course goal

Question 13 of 25 Two samples of water are mixed together. The first sample has a mass of 1.0 kg and is at 0°C. The second sample has a mass of 0.50 kg and is at 100°C. What is the equilibrium temperature of the water, assuming this is a closed system? (Gwater = 4.18 kJ/kg:°C)​

Answers

Answer:

Q = k M T    where k is the absorption constant, Q the heat absorbed, M the mass involved and T the temperature change (for change in temperature)

Q1 = 4.18 kJ/kg * 1 kg * 273 deg K     heat contained

Q2 = 4.18 kJ/kg * .5 kg * 373 deg K     heat contained

Q1 = 1141 kJ deg K

Q2 = 780 kJ deg K

Q = Q1 + Q2 = 1921 kJ deg K

T = 1921 / (4.18 * 1.5) deg K = 306 deg K = (306 - 273) = 33 deg Celsius

(The total mass  is now 1.5 kg)

How do i calculate the net force of the following question.Plz answer correctly
An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons.
A)Determine the net force acting on the object and

Answers

Explanation:force = mass×acceleration

mass=30 force=50

(a) 50÷30

because we don't have acceleration which is known as m/s2 that stands for meter per seconds square . Hope this help pls follow thank you

Choose the correct order of the Sun's layers from the center outward. a. corona, chromosphere, photosphere, convective zone, radiative zone, core b. core, magnetosphere, heliosphere, atmosphere c. atmosphere, heliosphere, magnetosphere, core, solar wind d. corona, chromosphere, convective zone, photosphere, radiative zone, core e. core, radiative zone, convective zone, photosphere, chromosphere, corona

Answers

The correct order of the Sun's layers from the center outward is e. core, radiative zone, convective zone, photosphere, chromosphere, corona.                                                                                                                                                                          

The chromosphere is the layer above the photosphere and below the corona. It is characterized by a reddish glow that is visible during a total solar eclipse.
The core is where nuclear fusion occurs, generating the Sun's energy. The radiative and convective zones transport this energy outward. The photosphere is the visible surface of the Sun, while the chromosphere is a layer above it, giving rise to solar phenomena. Finally, the corona is the Sun's outermost layer, characterized by its high temperature and plasma emissions.

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Place the molecules in the list in order with the smallest molecules at the top and largest molecules at the bottom: starch molecule, water molecule, glucose molecule, carbon dioxide molecule, protein molecule, amino acid molecule, oxygen molecule

Answers

Explanation:

list in order with the smallest molecules at the top and largest molecules at the bottom:

1.Oxygen

2.Water

3.Carbon dioxide

4.amino acid

5.Glucose

6. Starch

7. Protein

The molecules can be arranged as follows with the smallest at the top is oxygen, water, carbon dioxide, amino acid, glucose, starch, protein.

The given molecules;

starch, water, glucose, carbon dioxide, protein, amino acid, oxygen

The molecular weight of the given compounds is listed as follows;

water -------- 18 g/mol

glucose -------  180.2 g/mol

starch (2 or more glucose) ------ 360 g/mol

carbon dioxide ------ 44 g/mol

protein -------- 20,000 g/mol

amino acid (glycine) ----- 75 g/mol

oxygen -------- 16 g/mol

Thus, the molecules can be arranged as follows with the smallest at the top;

oxygenwatercarbon dioxideamino acidglucosestarchprotein

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you are riding on the edge of a spinning playground merry-go-round. if you pull yourself to the center of the merry-go-round, what will happen to its rotation?

Answers

If you pull yourself to the center of the merry-go-round,  the rotation of the merry go round will decrease.

What is the centripetal acceleration of a merry go round?

This is the radial acceleration experienced by a person moving in a circular path as the merry-go-round rotates about its mean position.

a = v²/r

where;

v is the linear speed of the merry go roundr is the radius of the merry go rounda is the centripetal acceleration of the merry go round

From the formula given above, as the radius of the merry go round increases, the centripetal acceleration of the merry go round decreases.

v = ωr

where;

v is the tangential speed or linear speed of the merry go roundr is the radius of the circular path from the edge

Thus, when the radius of the circular path decreases, the speed of the merry go round will decrease as well.

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Why should the launch speed be greater than the minimum possible speed?

Answers

The launch speed gets a object into motion, so it has to be greater than the minimum possible speed to move forward against the other forces like gravity. Once it reached inertia then the minimum possible can be used

when loading a trailer, more than half the weight should be placed in the back half of the trailer.
T/F

Answers

When loading a trailer, more than half the weight should be placed in the back half of the trailer. The given statement is false.

When loading a trailer, more than half of the weight should actually be placed in the front half of the trailer, not the back half. This helps to maintain stability and control while towing the trailer.

Ideally, 60% of the weight should be placed towards the front half, with the remaining 40% distributed towards the back half.
In order to ensure proper weight distribution and trailer stability, it is essential to place more than half of the load weight in the front half of the trailer, rather than the back half.

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If the skater has a mass of 55 kg and the maximum height the skater can reach is 10 m, then what will be the velocity of the skater if they skate down a height of 5 m? Ignore all friction and thermal energy and show all work

Answers

Answer:

10m/s

Explanation:

Data

mass=55kg, Maximum height (h1) =10m

Height reached when going down (h2)= 5m

final velocity (v)=?

At Maximum height the velocity is zero

hence intial velocity is 0m/s

The change in Potential energy = change in kinetic energy

mgh1-mgh2=1/2mv²-1/2mu²

But (u)= 0m/s

mgh2-mgh1=1/2mv²

mg(h1-h2)=1/2mv²

2g(h1-h2)=v²

v²=2(10m/s²)(10m-5m)

v²=100m²/s³

v=10m/s

Once an answer is submitted, you will be unable to return to this part. A 150-kg crate D is suspended from a ring at Aby a length of rope. The crate is held in certain location by two blocks, B and C, which are attached to the ring at Aby rope segments wrapped around frictionless pulleys. You want to position the crate such that the angle that rope AC makes in a counterclockwise direction from the positive x-axis is 30° as shown. The mass of block B is 135 kg. The mass of block C is adjustable. You decide to calculate what the mass of block C needs to be in order to keep crate D in the desired position. You also want to calculate , which represents the angle that rope AB makes in a clockwise direction from the negative x-axis when crate D is in the desired position. X 00:36:18 180° Choose which value represents the mass of block C that would keep crate D In equilibrium. Choose which value represents the mass of block C that would keep crate D In equilibrium. Multiple Choice 280 kg 20 kg 784.8 kg 196.2 kg 111.74 kg

Answers

The value that represents the mass of block C that would keep crate D in equilibrium is 196.2 kg (Option D).

To determine of value that represents the mass of block C that would keep crate D in equilibrium, ee can begin by determining the tension in the ropes. Since the crate is held in a certain location by two blocks, the tension in the ropes should be equal. We can use this fact to calculate the tension in the ropes by assuming that they have the same magnitude.

In this case, let T be the tension in each rope segment. The forces acting on the system can be represented in the following free-body diagram:

For the x-direction: T sin 30° = T sin 60° + µg = 0

where µ is the coefficient of friction and g is the acceleration due to gravity. Since the pulleys are frictionless, µ = 0. Therefore, we can simplify the equation as follows:

T sin 30° = T sin 60°

Dividing both sides by T:

sin 30° = sin 60°/2

This gives us: T = (2/√3) mg where m is the total mass of the system and g is the acceleration due to gravity.

Substituting the given values, we obtain:

T = (2/√3) × 150 × 9.81 ≈ 1962 N

Next, we can use the law of the lever to calculate the mass of block C required to keep the crate in equilibrium. According to this law, the sum of the moments acting on the system must be zero. We can choose the point where the ring is attached to the rope as the pivot. This gives us the following equation:

(135 kg)(9.81 m/s²)(3 m) + (mC)(9.81 m/s²)(6 m) - (150 kg)(9.81 m/s²)(4.5 m) - (1962 N)(3 m) = 0

Simplifying: (135)(3) + (6mC) - (150)(4.5) - (1962)(3) = 0

Rearranging: 6mC = 150(4.5) + 1962 - 135(3)

6mC = 2127

mC ≈ 196.2 kg

Therefore, the value that represents the mass of block C required to keep crate D in equilibrium is approximately 196.2 kg. Thus, the correct option is D.

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The reaction between magnesium (Mg) and oxygen (O2) forms magnesium oxide (MgO).
a. Write a balanced chemical equation to represent this reaction.
b. Identify the type of reaction this represents.

Answers

Answer:

2 Mg + O2 = 2MgO

Type: Synthesis

Can a body be in equilibrium if it is revolving clockwise under the action of a single force?

Answers

Answer: A rotating body or system can be in equilibrium if its rate of rotation is constant and remains unchanged by the forces acting on it.

hope this helped

a diverging lens has a focal length of magnitude 10 cm . at what object distance will the magnification be 0.40?

Answers

It's worth noting that the negative signs in the lens equation and magnification formula indicate that the image formed by a diverging lens is always virtual and upright. This means that the light rays from the object are diverging when they reach the lens, and the lens bends the light rays so that they appear to be coming from a virtual image point on the opposite side of the lens.

In terms of the magnification, a magnification of 0.40 means that the image is 40% the size of the object, but it is also inverted. So, if the object is an upright arrow, the image will be a smaller, inverted arrow. It's also worth noting that a diverging lens always has a negative focal length, which means that it always forms virtual images that are smaller than the object. Diverging lenses are used in eyeglasses to correct nearsightedness, and in certain optical instruments to spread out light or reduce its intensity.

The magnification formula for a diverging lens is:

m = -di/do

where m is the magnification, di is the image distance, and do is the object distance.

The focal length (f) of the lens is related to the image and object distances by the lens equation:

1/f = 1/di + 1/do

Substituting the given value of focal length (f = -10 cm) into the lens equation, we get:

1/-10 cm = 1/di + 1/do

Simplifying this equation, we can rearrange it to solve for di:

di = -do / (m - 1)

Substituting the given magnification (m = 0.40) into this equation, we get:

di = -do / (0.40 - 1)

di = -do / (-0.60)

di = 1.67 do

Therefore, the image distance is 1.67 times the object distance. To find the object distance that gives a magnification of 0.40, we can set di = -0.40 do (since m = -di/do) and solve for do:

-0.40 do = 1.67 do

Simplifying this equation, we get:

do = di / (-0.40)

do = -1.67 di

Therefore, the object distance that gives a magnification of 0.40 is 1.67 times the image distance. If we assume that the image is formed at the lens' focal length (di = -10 cm), then the object distance is:

do = -1.67 di

do = -1.67 (-10 cm)

do = 16.7 cm

Therefore, the object distance at which the magnification is 0.40 is 16.7 cm.

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You can visualize the process if you think about a trip in your car. If you tell a friend that you are 140 miles away from your starting point and traveled at 70 miles per hour, your friend would know you had been traveling 2 hours. You know this from the relationship: Distance (D) - Velocity (V) * Time (T) D=V.T or T=D/ (Eq. 3) Question 12. We can now determine when the universe "started its trip." Use the distance and velocity of one of the galaxies and Eq 3. Finally, convert your answer to billions of years (show your work and conversion, with units). Confirm that this answer is roughly in range of your answer to question 5.18 pts Age (seconds) = Age (years) = billion yrs

Answers

The distance and velocity of one of the galaxies, the universe "started its trip about 17.23 billion years.

A galaxy redshift = 0.228

velocity = redshift × speed of light

= 0.228 × 3 × 10⁸m/s

velocity = 6.84 × 10⁷ m/s

Distance = 1050 × 3.2 × 10⁶ light years

= 1050 × 3.2 × 10⁶× 9.46 × 10¹⁵ m

= 3.17856 × 10²⁵ m

So,

Age = D/v

= 5.436 × 10¹⁷ sec

1 sec = 3.17 × 10¹⁷ sec

Age = 5.436 × 10¹⁷ × 3.17 × 10¹⁷ sec

= 17.23 billion years

Thus, according to the relationship between distance and velocity, the universe started its trip about 17.23 billion years.

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An object is placed to the left of a converging lens. Which of the following statements are true, and which are false? (a) The image is always to the right of the lens. ---Select- (b) The image can be upright or inverted. --Select- (c) The image is always smaller or the same size as the object. ---Select-

Answers

When an object is placed on the left of a converging lens, the following statements are true and false as follows:

The image is always to the right of the lens - True

The image can be upright or inverted - True

The image is always smaller or the same size as the object - False

Converging lens is also known as convex lens, which produces a real or virtual image based on the position of the object in relation to the lens. The image formed by the converging lens can either be inverted or upright, depending on the distance of the object from the lens, whether it is closer or further.

1. The image is always to the right of the lens - True

When an object is placed to the left of a converging lens, the image formed by the lens is always located on the opposite side of the lens. That is, the image is located on the right side of the lens. This statement is, therefore, true.

2. The image can be upright or inverted - True

The image formed by the converging lens can be upright or inverted depending on the position of the object in relation to the lens. When the object is placed closer to the lens than the focal length, the image is always virtual, upright and magnified. On the other hand, if the object is placed beyond the focal length, the image is inverted and real. This statement is, therefore, true.

3. The image is always smaller or the same size as the object - False

The size of the image formed by a converging lens is determined by the distance of the object from the lens and the focal length of the lens. When the object is placed closer to the lens than the focal length, the image formed is always virtual, upright, and magnified. However, when the object is placed beyond the focal length, the image formed is inverted, real and diminished. This statement is, therefore, false.

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How would a parachute fall on the surface of the moon ? Describe. The mass of the Jupiter is
\(19 \times 10 ^{27} kg\)
and that of the sun is
\(2 \times 10 ^{30} kg\)
If the gravitational force acting between them is
\(4.166 \times 10 ^{23} newton\)
calculate the distance between their centres.​

Answers

Explanation:

the answer is 2.46 × 10^12

How would a parachute fall on the surface of the moon ? Describe. The mass of the Jupiter is [tex]19

Derive velocity-time relation from velocity-time graph ​

Answers

Explanation:

hope this helps you

.....,.......

Derive velocity-time relation from velocity-time graph

PLEASE HELP!!!!! thx​

PLEASE HELP!!!!! thx

Answers

Answer:

I thick it's ccc not for sure

Squids rely on jet propulsion to move around in water. A 1.5 kg squid at rest suddenly expels 0.12 kg of water backward to quickly get itself moving forward at 2.8 m/s. If other forces (such as the drag force on the squid) are ignored, what is the speed with which the squid expels water

Answers

Answer:

The speed of water is 32.2 m/s .

Explanation:

Mass of squid, M = 1.5 kg

mass of water, m = 0.12 kg

velocity of squid, V = - 2.8 m/s

Let the speed of water is v.

Use the conservation of momentum,

Momentum before expelling the water  momentum after expelling water

M x 0 = (M - m) x V + m x v

0 = - (1.5 - 0.12) x 2.8 + 0.12 v

3.864 = 0.12 v

v = 32.2 m/s

8. What current flows through a 1.15 kW electric fire at a potential difference of
230 V? (Remember that 1.15 kW is 1,150 W)
9. Would it be best to use a 3A, 5A or a 13A fuse for the fire above? Explain
why.

Answers

Answer:

I = 5[amp]

Explanation:

Electrical power is defined as the product of voltage by current.

\(P=V*I\)

where:

P = power = 1150 [W]

V = voltage = 230 [V]

I = current [amp]

Now replacing:

\(1150=230*I\\I=1150/230\\I=5[amp]\)

A 15 [amp] fuse must be used. Always the fuse must be larger than the operating current, to protect the equipment from very high currents. above 15 [amp]

What is the apparent weight of a 75 kg astronaut 2500 km from the center of the moon.

Answers

The apparent weight of the astronaut is 58.5 N.

Acceleration due to gravity

The acceleration due to gravity pulling on the astronaut at the given position is calculated by applying Newton's law of universal gravitation.

\(g = \frac{GM_{moon} }{R^2} \\\\g = \frac{6.67 \times 10^{-11} \times 7.35\times 10^{22}}{(2.5 \times 10^6)^2 } \\\\g = 0.78 \ m/s^2\)

The apparent weight of the astronaut

The apparent weight of the astronaut is calculated as follows;

\(W = mg\\\\W = 75 \times 0.78\\\\W = 58.5 \ N\)

Thus, the apparent weight of the astronaut is 58.5 N.

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Which reduces friction, to roll or to slide?​

Answers

to roll, sliding will create more friction

Describe each part of the scentific method explain why it is important to follwo this structure when conducting a scietifc investigation

Answers

Answer:

Asking a question

Research existing sources

Define an hypothesis

Design and conduct a study

Draw conclusion

Report result.

Explanation:

Scientific study simply means establishing the existence or proving the veracity of an hypothesis, hence making it a fact. A scientific study follows an orders set of procedure;

Asking a question is the first step as this is what prompts the research, question usually stems after making an observation.

The a observation made and question asked will lead to making research on the observed phenomenon, this is to check if such question has been asked in the past and maybe any scientific study as been carried out in the past.

To make research further, an hypothesis is defined in a bid to find more evidence to support one's observation through experiment.

Study design and implementation is next as the type of study to be embarked upon will determine which type of design preparation and study pattern to deploy.

Conclusion a d report of observations made are the last part of a scientific study which is key as all outcomes of the study should be adequately detailed in an understandable format while also ensuring reproducibility.

What are the different forms of potential energy

Answers

Answer:

   Gravitational potential energy.

   Chemical energy.

   Nuclear energy.

   Elastic potential energy

   Electrical potential energy

    Hope this helps :)

What does 'MET' stands for?

Answers

Answer:

MET = Metabolic equivalent of task.
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