To stretch pizza dough into a perfect shape a chef throws the dough spinning around its symmetry axis with a rotational speed of 0. 42 rad/s. At the end of this process the pizza dough has a shape of a disk of radius r equal to 0. 23 m and a mass of 0. 34 kg. The pizza has a thicker circular rim of mass 0. 16 kg. What is the total rotational inertia of the pizza dough? (Hint : the rim can be approximated as a circular ring)
Answers
The total rotational inertia of the pizza dough is 0.0146 kg·m^2.
The rotational inertia of the dough can be calculated using the formula for the rotational inertia of a solid disk rotating around its axis:
I_dough = (1/2) * m_dough * r^2
Substituting the given values, we get:
I_dough = (1/2) * 0.34 kg * (0.23 m)^2 = 0.0105 kg·m^2
The rotational inertia of the rim can be approximated as that of a circular ring rotating around its axis:
I_rim = m_rim * (r_outer^2 + r_inner^2)/2
Substituting the given values:
I_rim = 0.16 kg * ((0.23 m)^2 + (0.02 m)^2)/2 = 0.0041 kg·m^2
Therefore, total rotational inertia of pizza dough:
I_total = 0.0105 kg·m^2 + 0.0041 kg·m^2 = 0.0146 kg·m^2
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Related Questions
what is the elastic potential energy stored in the spring? does this energy depend on the mass of the cart?
Answers
The elastic potential energy stored in the spring is defined to be U = 0.5 · k · x². Yes, the energy does depend on the mass if it's hung from the spring.
Elastic potential energyYour question seems to be incomplete, but you can still try solving the problem using the formula for elastic potential energy.
Elastic potential energy is a type of potential energy stored in a spring as a result of applying a force to deform an elastic object. To find elastic potential energy, you can use the formula \(\bold{U=\frac{1}{2}\cdot k\cdot x^2}\) where U is the potential energy, k is the spring constant, and x is the displacement of the elastic object. The formula is derived from work formula (W = F · x) and Hooke's law (F = k · x).
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Name the type of component that has a greater resistance as the current through it increases
Answers
Answer:
filament bulb, filament lamp
Explanation:
More length of a wire is a component that has a greater resistance as the current through it increases.
The resistance of a long wire is greater than the resistance of a short wire because electrons collide with more ions present in the wire as they pass through. The moving electrons can collide with the ions present in the metal.
This makes more difficult for the current to flow and causes resistance in the wire so we can conclude that more length of a wire is a component that has greater resistance as more current passes through it.
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How can fluid friction be decreased?
Answers
Answer: by giving special shapes called streamlined shape to the objects
Explanation:
Now assume that the oil had a thickness of 200 nm and an index of refraction of 1. 5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength λwater of the light in water that is transmitted most easily to the diver?.
Answers
The longest wavelength λ water of the light in water that is transmitted most easily to the diver is 475 nm.
When light travels from a denser medium to a rarer medium, it bends away from the normal.
According to Snell's law, it can be expressed as follows:
n1sinθ1 = n2sinθ2
where n1 is the refractive index of the first medium,
θ1 is the angle of incidence,
n2 is the refractive index of the second medium,
and θ2 is the angle of refraction.
Here, n1 = 1.33 (refractive index of water),
n2 = 1.5 (refractive index of oil), and θ1 = 0
(since the light is traveling perpendicular to the surface).
Using the formula, we get θ2 = 0.869 radians.
Also, since the wavelength of the light is smaller than the thickness of the oil, we can ignore the reflection from the upper surface of the oil.
The wavelength of the light that will be transmitted most easily can be calculated using the formula
λwater = λoil / n2. Substituting the values, we get λ water = (632.8 nm / 1.5) = 421.9 nm.
However, since this is the shortest wavelength, we need to calculate the longest wavelength, which will be transmitted most easily.
Thus, we get λwater = 2 * λoil / n2 = 2 * 632.8 nm / 1.5 = 475 nm.
Therefore, the longest wavelength λwater of the light in water that is transmitted most easily to the diver is 475 nm.
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6. A right triangle has legs that are 18.6 cm and 11.0 cm. What is the length 8
of the hypotenuse? *
Answers
Answer:
hypotenuse = 21.6cm
Explanation:
I have attached photo with working.
an oscillating lc circuit has a current amplitude of 7.50 ma, a potential amplitude of 250 mv, and a capacitance of 220 nf. what are (a) the period of oscillation, (b) the maximum energy stored in the capacitor, (c) the maximum energy stored in the inductor, (d) the maximum rate at which the current changes, and (e) the maximum rate at which the inductor gains energy?
Answers
When a charged capacitor is coupled to an inductor, the electrical current and charge in the circuit experience electrical LC oscillations. The capacitor's initial charge, known as qm, is the electrical energy it stores. It is denoted by the equation U E = 1 2 q m 2 C.
Calculation:(a) From V=IX C
we find ω=I/CV.
The period is then, T=2π/ω=2πCV/I=46.1μs.
(b) The capacitor can store a maximum amount of energy ofU E = 21
CV 2 = 21 (2.20∗10 −7 F)(0.250V) 2 =6.88∗10 −9 J.
(c) The inductor's maximum energy storage capacity is also U.B =LI 2 /2=6.88nJ.
(d) We apply V=L(di/dt) maxWe can substitute L=CV 2 /I 2
combining what we found in part (a)) into equation (as written above) and solve for (di/dt)
max
Our result is,( dtdi )
max = LV = CV 2 /I 2V
= CVI 2
= (2.20∗10 −7 F)(0.250V)(7.50∗10 −3 A) 2
=1.02∗10 3 A/s.
(e) The derivative of UB= 21 Li 2 leads to,dU B/dt =LI 2 ωsinωtcosωt= 21 LI 2 ωsin2ωt,
Therefore,
dU B / dt
max = 21 LI 2 ω= 21
IV= 21 (7.50∗10 −3 A)(0.250V)=0.938mW.
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A musician plucks a 0. 620 m string on an acoustic guitar the string vibrates back and forth at 196hz
Answers
A musician plucks a 0.620 m string on an acoustic guitar and the string vibrates back and forth at 196 Hz. This means that the frequency of the string is 196 Hz and the wavelength of the string is 0.620 m.
Using the formula for the speed of a wave, v = fλ, where v is the speed, f is the frequency, and λ is the wavelength, we can calculate the speed of the wave on the string.
v = fλ
v = (196 Hz)(0.620 m)
v = 121.52 m/s
Therefore, the speed of the wave on the string of the acoustic guitar is 121.52 m/s.
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What is the work done on the box from x = 0m to 10m?
Answers
The force applied to the box multiplied by 10m equals the work performed on the box from x = 0m to 10m.
The work done on the box from x = 0m to 10m is the product of the force applied on the box and the displacement of the box. The work done is calculated as:
Work = Force × Displacement
Therefore, the work done on the box from x = 0m to 10m is:
Work = Force Applied × (10m - 0m)
work = Force Applied × 10m
Therefore, the work done on the box from x = 0m to 10m is equal to the force applied on the box multiplied by 10m.
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Which one of the following statements refers to Daltons Law of Partial Pressures? A. The volume of a fixed quantity of gas at constant temperature is inversely proportional to the pressure. B. The volume of a fixed amount of gas at constant pressure is directly proportional to its absolute temperature. C. The volume of a gas at constant temperature and pressure is directly proportional to the number of moles of the gas. D. The total pressure of a mixture of gases equals the sum of the pressures that each gas would exert if it were present alone. E. All of the above are correct
Answers
Dalton's Law of Partial Pressures states that the total pressure of a mixture of gases is the sum of the partial pressures of each component in the mixture. In other words, the total pressure of a gas mixture is equal to the sum of the partial pressures of each gas in the mixture. The correct option is D.
Dalton's law is based on the kinetic theory of gases and assumes that gases behave independently of each other. This means that each gas in a mixture will exert its own pressure and that the total pressure of the mixture is the sum of the pressures of each gas present.
Dalton's Law of Partial Pressures is important in many applications, including gas chromatography and the study of atmospheric gases. It is also used in the medical field, where it is used to calculate the concentration of gases in the bloodstream and in anesthesia delivery systems.
Dalton's law can be expressed mathematically as:
Ptotal = P1 + P2 + P3 + ...where Ptotal is the total pressure of the gas mixture, and P1, P2, P3, etc. are the partial pressures of each gas in the mixture. The correct option is D.
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HELP PLEASE SHOW ALL WORK!
Answers
a. At the bottom of the circle, the ball is moving in a circle, so it is experiencing a centripetal acceleration towards the center of the circle. The free body diagram for the ball would show the tension force (T) acting towards the center, and the gravitational force (m*g) acting downwards. The direction of acceleration is towards the center of the circle.
b. Using the free body diagram, we can set up the equation needed to determine the tension in the string:
T = m * a
Where T is the tension in the string, m is the mass of the ball (0.65 kg) and a is the centripetal acceleration of the ball (v^2/r).
c. To calculate the tension in the string, we need to first find the centripetal acceleration. We can use the equation:
a = v^2/r
where v is the velocity of the ball at the bottom of the circle (2.8 m/s) and r is the radius of the circle (0.50 m).
a = (2.8 m/s)^2 / 0.50 m = 11.2 m/s^2
Now, we can use the equation T=m*a to find the tension in the string:
T = 0.65 kg * 11.2 m/s^2 = 7.28 N
So the tension in the string is 7.28 N
compute the thrust per unit area, beam power per unit area, exhaust speed, and current density of an ion engine using argon (39.9 amu)
Answers
Operating parameters, and engine efficiency would be required.
How to compute the thrust per unit area?To compute the thrust per unit area, beam power per unit area, exhaust speed, and current density of an ion engine using argon (Ar) with a mass of 39.9 atomic mass units (amu), we need additional information such as the ion engine design, voltage, current, and specific parameters of the engine. Without specific details, it is not possible to provide accurate calculations.
However, I can provide a general overview of the formulas used to calculate these parameters in an ion engine:
1. Thrust per unit area: The thrust generated by an ion engine is typically given by the equation:
Thrust = Mass flow rate * Exhaust speed
Thrust per unit area can be obtained by dividing the thrust by the area of the ion beam.
2. Beam power per unit area: The beam power is given by:
Beam power = Thrust * Exhaust speed
Beam power per unit area can be obtained by dividing the beam power by the area of the ion beam.
3. Exhaust speed: The exhaust speed can be determined from the voltage applied to the ion engine and the ion mass. The exhaust speed is proportional to the square root of the applied voltage and inversely proportional to the square root of the ion mass. The specific formula depends on the specific design and configuration of the ion engine.
4. Current density: The current density is calculated by dividing the current passing through the ion engine by the area of the ion beam.
To accurately compute these values, detailed information about the specific ion engine design, operating parameters, and engine efficiency would be required.
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Muốn biểu diễn vectơ lực chúng ta cần phải biết các yếu tố gì
Answers
Một đại lượng vectơ là một lực. Đại lượng vectơ là đại lượng có cả độ lớn và hướng, như chúng ta đã dạy trong phần trước. Bạn phải xác định cả độ lớn (kích thước hoặc số) và hướng của lực tác dụng lên một vật thể để mô tả hoàn toàn nó.
Hypertension The INTERSALT Study investigators collected standardized data on timed 24-hour urinary excretion for 10,079 men and women from 52 population samples in 32 countries (Brown et al.) [14] One of the goals of the INTERSALTStudy was to quantify the relationship between 24-hour urinary Na ly) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time. The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y 1.03 x 7.19, with R2 0.27, n 1369 11.25 What does the R2 of 0.27 mean in words?
Answers
In words, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time.
The INTERSALT Study was designed to investigate the relationship between dietary sodium and blood pressure (hypertension) in populations worldwide.
The study included 10,079 men and women from 52 population samples in 32 countries. One of the goals of the study was to quantify the relationship between 24-hour urinary Na (y) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time.
The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y = 1.03x + 7.19, with R2 = 0.27, n = 1369.
The coefficient of determination, R2, is a statistical measure that represents the proportion of the variance for a dependent variable (y) that's explained by an independent variable (x) or variables in a regression model.
In this case, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time. The remaining 73% of the variability in y is due to other factors that are not included in the regression model.
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. What was the problem in Redi's experiment?
a. How do maggots appear in meats?
b. How do worms appear in wood?
c. Is spontaneous generation a valid
explanation formaggots in meats?
d. All of the above are examples of problems
Answers
Answer:
I say that the answer is D all of the above hope this helps ♂️
a horse is tied with a 2m long rope at a pole. what distance will the horse run around the pole with a rope tightly stretched, if it takes and one a half rounds? also find the displacement of the horse
Answers
Answer: Total distance = 4π meters and the Total Displacement = 0
Explanation: 1.5 rounds around the pole = 1.5 times the circumference of the circle form by the rope.
Circumference of a Circle = 2πr
from the question the radius = 2m, hence the total circumference = 2π*2 = 4π meters.
Displacement which is distance between initial position and final position. When the horse takes one and a half rounds around the pole, it ends up back at the starting point. Hence, the displacement is zero.
which statement is true about an orbit with an eccentricity of almost 1?
a)The orbit is a circle
B)The orbit is almost an ellipse
C)The orbit is a very long and narrow ellipse
D)The orbit is an ellipse that is al,ost circuklar
Answers
The statement that is true about an orbit with an eccentricity of almost 1 is:
C) The orbit is a very long and narrow ellipse.
The eccentricity of an orbit is a measure of how elongated or stretched out the shape of the orbit is. The eccentricity of an orbit ranges from 0 to 1, with 0 representing a perfectly circular orbit and 1 representing a highly elongated or eccentric orbit.
When the eccentricity is almost 1, it indicates that the orbit is highly elongated or stretched out. This means that the orbit is no longer close to being circular but takes on the form of a long and narrow ellipse. The closer the eccentricity is to 1, the more elongated the orbit becomes. Therefore, option C, stating that the orbit is a very long and narrow ellipse, is the correct statement for an orbit with an eccentricity of almost 1.
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Four states of matter and describe the particles arrangement of each
Answers
Answer:
There are four natural states of matter: Solids, liquids, gases and plasma.
Explanation:
The fifth state is the man-made Bose-Einstein condensates. In a solid, particles are packed tightly together so they don't move much.
which two phenomena make up electromagnetism
Answers
Answer:
Electricity and Magnetism
Debra invested her savings in two investment funds. the $4000 that she invested in fund a returned a 4% profit. the amount that she invested in fund b
returned a 1% profit. how much did she invest in fund b, if both funds together returned a 3% profit?
Answers
Debra made the investment of $800 in fund B and $3200 in fund A. To solve this problem, we need to use the formula for weighted average: (total profit)/(total investment) = (weight of investment A x profit of investment A + weight of investment B x profit of investment B)/(weight of investment A + weight of investment B)
Let x be the amount Debra invested in fund B. Then, the amount she invested in fund A is 4000 - x. We can plug in the given values and solve for x:
0.03 = (4000 - x)*0.04/4000 + x*0.01/x + (4000 - x + x)/(4000)
0.03 = 0.04 - 0.04x/4000 + 0.01 + 1/4000
0.03 = 0.05 - 0.03x/4000
0.03x/4000 = 0.02
x = 0.02*4000*100 = 800
Therefore, Debra invested $800 in fund B and $3200 in fund A.
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What does it mean to tare a balance and why do you think it is important to complete this before you begin measuring mass?.
Answers
When weighing chemicals on a balance, the term "tare" is used. Pressing the tare button enables you to record only the weight of the substance being measured, not the weight of the container it is being measured in.
Why is tare the balance prior to use important?Weighing by difference is automatically accomplished by tarring a balance. When a balance is tared with an object on the balance pan, the weight of the object is automatically subtracted from each reading up until the balance is re-tared or zeroed.
Testing a balance is crucial because you want an accurate result when you weigh an object. The calculations could all be off if a balance is not set to zero.
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Explain how the visible light spectrum is a spectrum within a spectrum.
Answers
Answer:
In the visible spectrum of light, the color of the light depends on the frequency. The visible spectrum is always the same for a rainbow or the separated light from a prism. The order of colors is red, orange, yellow, green, blue, indigo, and violet.
Explanation:
Alejandro has collected over 35 studies focusing on the impact of vitamin C on a person's cold duration. He hopes to combine these findings and draw a general conclusion regarding the usefulness of the vitamin. Alejandro is using the statistical tool of:
Answers
Since Alejandro hopes to combine the findings from the collected studies and draw a general conclusion regarding the subject, he is using statistical tool of inference.
There are basically 2 types of statistical tools:
Descriptive statistical toolsInferential statistical toolsDescriptive tools are used to describe data. They include the use of tables, graphs, measures of dispersion, measures of central tendencies, etc.
Inferential tools are used to deduce conclusions from data. They include measures of significant differences, probability, correlation and regression, etc.
In this case, Alejandro would need to subject the data collected from the 35 studies to inferential statistical analysis tools in order to be able to make relevant conclusions.
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Hydrogen bonding is a weak attractive force.
O A. True
O B. False
Answers
Answer:
The Answer is gonna be True
Explanation : A hydrogen bond is a weak type of force that forms a special type of dipole-dipole intermolecular attraction when a hydrogen atom is bonded directly to one of the most electronegative elements like nitrogen (N), oxygen (O) or fluorine (F). This causes the hydrogen to acquire a significant amount of positive charge.
Or
Hydrogen bond is an attractive force between a partially positive charged hydrogen and a partially negative charged atom (oxygen and nitrogen). This is a very weak bond and strength of hydrogen bond (5-10 Kcal per bond) is much less than the strength of covalent bond. Hydrogen bonds are usually showed as dotted lines between two atoms.
This is the Answer for your question :3
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Answer: The attraction of opposite charges between hydrogen and oxygen does not form a weak bond because oxygen-hydrogen makes hydrogen bonding. Hydrogen bonding is a very attraction force
can i get help please
Answers
Answer: Binary fission
Explanation: Bacteria cells split into two using binary fission.
If I drive 60 km/h and it takes me 3000 s to get to work, how far is my work
from my house? *
Answers
Answer:
Explanation: CONVERT km/h TO m/s
WE GET 16.67 M/S
THEN,
USE : speed= distance / time
16.67 = x / 3000
∴x = 50,000 m
or
∴x = 50 km
A car travels 240,000m in 7200s and a sprinter travles 100m in 9.5s.which is traveling faster and by how muhc?
Answers
Given that the distance traveled by car is
\(d_c=240000\text{ m}\)The time taken by car is
\(t_c\text{ = 7200 s}\)The distance traveled by the sprinter is
\(d_s\text{ = 100 m}\)The time taken by the sprinter is
\(t_s\text{ = 9.5 s}\)We have to find that which is traveling faster and by how much.
First, we need to calculate the individual speed of the car and the sprinter.
The speed of the car can be calculated as
\(\begin{gathered} v_c=\text{ }\frac{d_c}{t_c} \\ =\frac{240000}{7200} \\ =33.33\text{ m/s} \end{gathered}\)The speed of the sprinter can be calculated as
\(\begin{gathered} v_s=\frac{d_s}{t_s} \\ =\frac{100}{9.5} \\ =10.53\text{ m/s} \end{gathered}\)The speed difference between car and sprinter is
\(\begin{gathered} v=v_c-v_s \\ =33.33-10.53 \\ =22.8\text{ m/s} \end{gathered}\)Thus, the speed of the car is greater than that of the sprinter by 22.8 m/s.
A plane progressive wave is represented by the equation y=0. 5 sin (1000 πt -1000πx÷17) where y is in millimeters, t is in seconds, and x is in meters. Calculate the frequency and wavelength of the wave
Answers
The frequency of the wave is 500 Hz, and the wavelength of the wave is 0.034 meters.
In the given equation, y = 0.5 sin (1000 πt - 1000πx/17), the general form of a plane progressive wave is y = A sin (2πft - 2πx/λ), where A is the amplitude, f is the frequency, and λ is the wavelength.
Comparing the given equation to the general form, we can identify the values as follows:
Amplitude (A) = 0.5
Angular frequency (2πf) = 1000 π
Angular wave number (2π/λ) = 1000 π/17
From the angular frequency (2πf), we can determine the frequency (f) by dividing by 2π:
f = (1000 π) / (2π) = 500 Hz
From the angular wave number (2π/λ), we can determine the wavelength (λ) by taking its reciprocal:
λ = (2π) / (1000 π/17) = 34 / 1000 = 0.034 m
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1-Find the gravitational force
between two objects the first
one iş/25 kg and the seconed
one is 0.55 kg and the distance
between it is 35 m.
Answers
Answer:
Explanation:
we know that
gravitational force(F)=Gm1m2/r^2
m1=25 kg
m2=0.55 kg
r=35 m
F=6.67*10^-11*25*0.55/35^2
F=0.075*10^-11
How would increasing the magnetic force of a magnet change the pattern of magnetic field lines between its poles?
Answers
The increase in the strength of the magnetic field will make the magnetic filed lines more closer to each other at the magnetic poles.
What are magnetic field lines ?The magnetic field lines show how powerful the magnet is. This magnetic field will have a wider region of coverage for a powerful magnet. The magnetic field lines appear to all diverge or converge at the poles, as shown in the illustration above. This indicates that the region where a magnet's external magnetic field is highest.
The magnetic south pole is the point at which all magnetic field lines converge for all magnets, while the magnetic north pole is the point at which all magnetic field lines diverge.
The magnet's north pole is where magnetic lines of force begin, and its south pole is where they terminate. At the poles, magnetic field lines are closest to one another, and the distance at which they are separated from the magnet changes.
Magnetic force lines never cross one another. But they come closer when the field strength is increased.
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Arthur puts new batteries in his flashlight before leaving the house. Until the batteries die, it draws 0.25 A of current, allowing a total of 6,812 C of charge to. flow in the circuit. How long will Arthur be able to use the flashlight before the batteries'energy is depleted?
Answers
Given,
The current, I=0.25 A
The total charge flowing in the circuit is q=6812 C.
The electric current can be defined as the time rate of flow of the charges.
Thus, the electric current is given by,
\(I=\frac{q}{t}\)Where t is the time duration.
\(\begin{gathered} 0.25=\frac{6812}{t} \\ t=\frac{6812}{0.25} \\ =27248\text{ s} \end{gathered}\)Thus the batteries will fry out after 27248 s