A circular turntable rotates at constant angular velocity about a vertical axis. There is no friction and no driving torque. A circular pan rests on the turntable and rotates with it: see the sketch at right. The bottom of the pan is covered with a layer of ice of uniform thickness, which is, of course, also rotating with the pan. The ice melts but none of the water escapes from the pan. Is the angular velocity now greater than, the same as, or less than the original velocity

Answers

Answer 1

Answer:

the moment of inertia of the water increases, therefore the angular velocity must decrease

Explanation:

To analyze this exercise we see that the system is isolated therefore the angular momentum is conserved

initial instant. The plate with the ice cap (solid)

          L₀ = I₀ w₀

where Io is the moment of inertia of the plate plus the ice disk

          I₀ = ½ M r² + ½ m r²

where M is the mass of the plate and m is the mass of the ice

final instant.  When the ice has melted, therefore we have water that is a liquid and as the system is rotating it accumulates towards the periphery of the system,

           L_f = I w

in this case the moment of inertia is

            I = ½ M r² + I_water

the moment of inertia of water if it is concentrated in a thin ring is

          I_{water} = mr²

we can see that the moment of inertia increases

how angular momentum is conserved

          L₀ = L_f

          (½ M r² + ½ m r²) w₀ = (½ M r2 + I_{water})  w

          w = [tex]\frac{ \frac{1}{2} Mr^2 + \frac{1}{2} m r^2 }{\frac{1}{2} Mr^2 + I_{water} } \ w_o[/tex] w

we can see that the moment of inertia of the water increases, therefore the angular velocity must decrease


Related Questions

Please I need an answer

Answers

B or c
It’s kinda confusing

Answer:

D

Explanation:

The ballon will repel

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Ammeter
А
1
592
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12
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А
er
1002
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Circuit 2​

Answers

Answer:

child i dont even know the answer for this question

Explanation:

A sound wave passes from air into water and then into steel. With each change in medium, what happens to the speed of the
wave?
А
It increases
B
It decreases. C
It increases then decreases
D
It decreases then increases

Answers

Answer:

A

Explanation:

if its wronge im so sorry

Determine the stopping location of the prize wheel. At this moment it is centered on the number 11. It is spinning at a rate of 124.40 rpm. It is slowing at a rate of 1.400 rad/s/s.

Predict the time the wheel will remain spinning, the angular displacement it will go through, and then use this to predict the number on which the wheel will stop. To be safe, you will also get one number the right and to the left of the number you chose.

Answers

Answer:

The wheel spins for 11.43s. The number cannot be determined.

Explanation:

We know that initial velocity is 124.4 rpm = 13.027137522 rad/s, acceleration is -1.14 rad/s^2, and final velocity is assumed to be 0 rad/s. We are asked to find t and displacement. We use the equation [tex]\omega=\omega_0+\alpha t[/tex] where [tex]\omega=0 rad/s[/tex], [tex]\omega_0=13.027 rad/s[/tex], [tex]\alpha=-1.14rad/s^2[/tex], and [tex]t=?[/tex].

Rearrange the equation to obtain [tex]\frac{\omega-\omega_0}{\alpha}=t[/tex]. Plug in the numbers and solve to obtain [tex]t=11.43s[/tex].

The number of the wheel cannot be determined as we do not know the placement of numbers on the wheel.

CAN YOU EXPLAIN?
How are waves different, and how do their differences
affect their characteristics?

Answers

Answer:this this is an image of this is helpful to you please thank you

Which equation could be rearranged to calculate the frequency of a wave?

wavelength = frequency/speed
frequency = wavelength/speed
wavelength = speed/frequency
frequency = speed x wavelength

Answers

The frequency of a wave is speed/wavelength.

What is frequency?

Frequency is the number of cycles completed by a wave in one second.

The S.I unit of frequency is hertz.

The formula for the frequency of a wave is given by

Formula:

v = λf.............. Equation 1

Where:

v = speed of the waveλ = wavelength of the wavef = frequency of the wave.

Make f the subject of the equation

f = v/λ.............. Equation 2frequency = speed/wavelength

Hence, The frequency of a wave is speed/wavelength.

Learn more about frequency here: https://brainly.com/question/301048

Answer:

C

Explanation:

Trust

QUICK: A circular loop of radius r is rotated through a magnetic field B, which of the following would increase the magnetic flux through the loop by a factor of 16?

SELECT ALL THAT APPLY
A. Doubling B and quadrupling r.
B. Quadrupling B and doubling r.
C. B remains constant and quadrupling r.
D. Doubling B and doubling r.

Answers

Doubling B and quadrupling r

The energy generated by the sun travels to Earth as electromagnetic waves of varying lengths. Which statement describes an electromagnetic wave with a long wavelength?
А
It has a high frequency and low energy.
B. It has a high frequency and high energy.
C. It has a low frequency and can travel through a vacuum.
It has a low frequency and needs a medium to travel through

Pls help quick!!!!

Answers

Answer:

It has low frequency and can travel through a vacuum

Explanation:

C.

A room that is kept at the same temperature year-round feels warm to someone who comes in from outside during the winter and cool to someone who comes in from outside during the summer. Explain how this can be true.

Answers

Answer:

its warmer than outside in winter and its colder than outside in summer

Explanation:

The perception of warmth or coolness is relative to the temperature difference between the body and the environment. Even though the temperature inside the room remains constant year-round, the relative temperature difference between the environment outside and the room can cause a subjective sensation of warmth or coolness.

What is temperature?

Temperature is a physical quantity that measures the degree of hotness or coldness of a body or a substance. It is a scalar quantity, which means it has only a magnitude and no direction.

The SI unit of temperature is the Kelvin (K), but the temperature is commonly measured in degrees Celsius (°C) or degrees Fahrenheit (°F) as well.

The temperature difference is the numerical value of the difference between the temperatures of two objects or substances. It represents the amount of heat that flows from one object to another due to the temperature gradient between them. The temperature difference is also a scalar quantity, and its unit is usually expressed in degrees Celsius or Kelvin.

The temperature difference is important in many areas of science and engineering, including thermodynamics, heat transfer, and meteorology. It is also used to measure the efficiency of heating and cooling systems, such as air conditioners and refrigerators.

Here in this question,

This phenomenon occurs due to the relative difference in temperature between the environment outside and the temperature inside the room. The feeling of warmth or coolness is a subjective sensation that depends not only on the actual temperature but also on the difference in temperature between the person's body and their surroundings.

During the winter, the temperature outside is generally colder than the temperature inside the room which is kept at a constant temperature. When a person comes into the room from the cold outside, their body temperature is lower than the room temperature, so they feel warmer inside the room. This is because the heat from the warm room transfers to the person's body, raising their body temperature and making them feel warmer.

On the other hand, during the summer, the temperature outside is usually warmer than the temperature inside the room. When a person comes into the room from the hot outside, their body temperature is higher than the room temperature, so they feel cooler inside the room. This is because the heat from the person's body transfers to the cooler room, lowering their body temperature and making them feel cooler.

Therefore, the relative temperature difference between the environment outside and the room can cause a subjective sensation of warmth or coolness.

To learn about the difference between conduction and convection  click:

https://brainly.com/question/13104912

#SPJ3


Punnett squares are used by geneticists to determine the probability of
different offspring genotypes.

Answers

Answer:

are used by geneticists to determine the probability of different offspring genotypes.

Which statements describe the principles of the big bang theory? Select two options. The universe is continuing to expand. The universe stretched from a single point. The universe resulted from the collision of light and dark energy. The universe expanded, but its size is now remaining constant. The universe is slowly collapsing and getting smaller.

Answers

The statements which describe the principles of the big bang theory include:

The universe is continuing to expandThe universe stretched from a single point.

Big bang theory was postulated by Georges Lemaître and he is regarded as

the father of this principle. This principle talks about how the universe was

formed.

He proposed that the universe was formed from a single point which then

began expanding and stretching to accommodate more components.

Read more on https://brainly.com/question/6841128

Answer:

A and B

Explanation:

edge 2023

19. A car accelerates uniformly in a straight line from 10 m/s to 20 m/s in 5 seconds. What is the
acceleration?

Answers

Answer:

2 [tex]m/s^{2}[/tex]

Explanation:

Acceleration = [tex]\frac{Final velocity-Initial velocity}{Time}[/tex]

= [tex]\frac{20 - 10}{5}[/tex]

= [tex]\frac{10}{5}[/tex]

= 2 [tex]m/s^{2}[/tex]

In class, we read an article about "Absolute Zero". Using what you know about particles/molecule motion, choose the option that best represents the explanation of what absolute zero is.

Answers

Answer:

Absolute zero is where the particles/molecules are not moving at all, meaning that there is no heat.

This means that the answer is:

1. All particles are moving and this movement allows us to measure the thermal energy of an object or substance. If the particles were able to completely stop moving this would be called reaching absolute zero.

Answer:

According to the options you gave, the answer is one

Explanation:

Absolute zero is defined by something being so cold the particles do not move

What happens to molecules when their kinetic energy decreases? * 6 points They move slower they move faster they get heavier It depends on the type of molecule

Answers

When ANYTHING moves slower, its kinetic energy decreases.

A car accelerates from 0 to 72 km/hr in 8 seconds. What is the car's acceleration?

Answers

Explanation:

Vi = 0 m/s

Vf = 72 km/hr = (72×5)/18 = 20 m/s

t = 8 s

Vf = Vi + a×t

20 = 8a

a = 2.5 m/s^2

Answer:

Initial Velocity (u) = o m/s

Final Velocity (V) =(72*1000)/1*60*60 m/s

= 20m/s

time (t) =8 sec

Acceleration(a)= v-u /t

=(20-0)/8

=2.5 m/s^2

this is the answer i just did the problem

explain how height,acceleration,and speed would affect the movement of a roller coaster​

Answers

The effective acceleration or deceleration due to gravity depends on the inclined angle of the track relative to ground; the steeper the slope is the greater the effective acceleration.

what is the S.I unit of voltage ?

Answers

Answer:

V

Explanation:

The S. I unit for voltage is v due to the fact that it's volts.

How far will a person go if they jog for 2 hours at a speed of 12 km/hr?

Answers

24 km explanation- Unless i am missing something 12 km per hour is just 12+12 km for 2 hours

Answer:

24

Explanation:

24

A car traveled 30 km in 20 minutes. What is its average speed?

Answers

Answer:

One and a half km per minute

Explanation:

Answer:

1.5

Explanation:

When the football is snapped, which player will have the smallest change in kinetic energy?

Answers

The quarterback because he needs to be still for that split second while waiting for the ball to reach his hands, while everyone else is free to move when the ball moves

Un asensor de masa 500 kg , con cuatro personas a bordo , cada una con una masa de 75 kg , asciende con una altura de 28 metros Calcula la energia potencial que adquiere el asensor

Answers

Answer:

 U = 2,195 10⁵ J

Explanation:

The potential energy is

      U = m g and

in this case each person has a mass of 75 kg and the elevator has a mass of 500 kg, the total mass is

   

 m_total = m_elevator + 4 m_person

      m_total = 500 + 4 75

      m_toal = 800 kg

let's calculate

       U = 800 9.8 28

       U = 2,195 10⁵ J

Gloria wants to test if the amount of air pressure in a soccer ball affects how far the ball will roll. She purchases five soccer balls that are all the same size and a ball pump with a pressure gauge attached
She constructs a device to hit the ball and chooses a smooth, flat surface for the ball to roll on. She has a log ready to record her data. What should Gloria do before beginning her experiment?
A
inflate each ball the same amount
B
inflate each ball a different amount
C
construct different devices to hit the ball
D
choose different surfaces to roll the ball on

Answers

B. inflate each ball a different amount

Compare and contrast the way molecules behave in liquid to the way they behave in solids and gases.

Answers

In liquids, molecules particles are close together but move in random directions.

In solids, they are closely packed together and they vibrate a little.

In gases, they love around really quickly and are farther apart (even more than liquids).

Answer:

Atoms, molecules,  ions are all present in gases, liquids, and solids, but their behavior varies depending on the process. ...gas are well separated and not arranged in any particular order. There is no regular arrangement of liquids, so they are close together. Solids are arranged in a regular pattern and are tightly packed

Explanation:

Two students move a box to the left. One student pushes with a force of 100 N to the left, and the other student pulls with a force of 85 N to the left. They move the box 20 m in 7 s. What is the total amount of work done on the box by the students?

Answers

Answer:

Resultant Force= F1 - F2

F1= 100N

F2= 85N

Resultant Force= 100N - 85N

R.F = 15N

Workdone= Force x Displacement

Force = 15N

Displacement = 20m

= 15N X 20m

=300Nm or Joules

What caused the light to shine on the paper above the mirror?
O The light was refracted.
The light was reflected.
The light was amplified.
The light was diffracted.

Answers

Answer:

The Light was reflected, b.

Explanation:

If the flashlight was pointed at the mirror, it was reflected because it did not stop on the mirror or go through the mirror or reflect in different ways.

Describe the mirror formula for a concave mirror in a shortcut way​

Answers

Answer:

1/f =1/v+1/u

Explanation:

Your in a car and you went 385
miles in 4 hours, how fast were
you going?

Answers

385/4=96.25
You were going 96.25mph

2. A rock is dropped from rest at the top of a 10 meter tall building. How much time does the rock
take to hit the ground?

Answers

Answer:

1.4 seconds

Explanation:

here u= 0

v= ?

h= 10m

g= 9.8 m/ s*2

using 2as = v^2 - u ^2

2x9.8x10 = v^2 - 0

v^2 = 196

v = 14 m

time = v- u/ a

14 / 98

1.4 seconds



2. An object's weight is proportional to its _ or _ from another object

Answers

Answer:

mass

gravitational pull

What causes water molecules to be attracted to each other?

Answers

Answer:

the positive and negative charges of the hydrogen and oxygen atoms that make up water molecules makes them attracted to each other

Explanation:

Hope this helps dude

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