Question

A 36.5 kg child stands at the center of a 125 kg playground merry-go-round which rotates...

A 36.5 kg child stands at the center of a 125 kg playground merry-go-round which rotates at 3.10 rad/s. If the child moves to the edge of the merry-go-round, what is the new angular velocity of the system? Model the merry-go-round as a solid disk.

Homework Answers

Answer #2

Mass of child = m = 36.5 kg

Mass of merry-go-round = M = 125 kg

Radius of the merry-go-round = R

Initial angular velocity of the merry-go-round = 1 = 3.1 rad/s

Final angular velocity of the merry-go-round = 2

Moment of inertia of merry-go-round = I = MR2/2

Speed of child at the edge of the merry-go-round = V = 2R

By angular momentum conservation,

I1 = I2 + mVR

(MR2/2)1 = (MR2/2)2 + m(2R)R

M1/2 = M2/2 + m2

(125)(3.1)/2 = 2(125/2 + 36.5)

2 = 1.957 rad/s

The new angular velocity of the system = 1.957 rad/s

answered by: anonymous
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A child of mass 60 kg sits at the center of a playground merry-go-round which is...
A child of mass 60 kg sits at the center of a playground merry-go-round which is spinning at 1.5 rad/s. The moment of inertia and radius of the merry-go-round are 150 kg×m2 and 1.2 m respectively. How much rotational kinetic energy does the system lose as the child moves to the edge of the merry-go-round? (Treat the child as a point mass.)
A child of mass m=15kg stands on a merry-go-round. The radius of the merry-go-round is R=2m...
A child of mass m=15kg stands on a merry-go-round. The radius of the merry-go-round is R=2m and the mass is M=75kg. The merry-go-round is considered to be a solid disk. The merry-go round initially at rest and the child stands near the edge. What will the angular velocity of the merry-go-round be if the child jumps off a.) In the radial direction with a velocity of +4m/s? b.) perpindicular to the radial direction with a velocity of +4m/s? c.) At...
1. A person of mass 75.0 kg stands at the center of a rotating merry-go-round platform...
1. A person of mass 75.0 kg stands at the center of a rotating merry-go-round platform of radius 3.00 m and moment of inertia 826 kg⋅m2. The platform rotates without friction with angular velocity of 0.955 rad/s. The person walks radially to the edge of the platform. You may ignore the size of the person. (a) Calculate the angular velocity when the person reaches the edge of the merry-go-round. (b) Calculate the rotational kinetic energy of the system of platform...
a 50.0 kg child is on a 200. kg merry-go-round with a radius of 1.50 m....
a 50.0 kg child is on a 200. kg merry-go-round with a radius of 1.50 m. the child starts at 0.5 m from the center and moves to the edge. the child's parent accelerates the merry-go-round from rest at 0.75 rad/s^2 to a speed of 1.5 rad/s. How long did the parent push the merry-go-round? how much force is required to hold the child when at 0.5 m from the center? determine the kinetic energy of the system when moving...
A person of mass 72 kg stands at the center of a rotating merry-go-round platform of...
A person of mass 72 kg stands at the center of a rotating merry-go-round platform of radius 2.7 m and moment of inertia 860 kg?m2 . The platform rotates without friction with angular velocity 0.95 rad/s . The person walks radially to the edge of the platform. Calculate the angular velocity when the person reaches the edge. Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk
A person of mass 70 kg stands at the center of a rotating merry-go-round platform of...
A person of mass 70 kg stands at the center of a rotating merry-go-round platform of radius 3.2 m and moment of inertia 860 kg⋅m2 . The platform rotates without friction with angular velocity 0.95 rad/s . The person walks radially to the edge of the platform. A. Calculate the angular velocity when the person reaches the edge. B. Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.
On a playground, a merry-go-round with a total mass of 100 kg and a radius of...
On a playground, a merry-go-round with a total mass of 100 kg and a radius of 2.5mis rotating counterclockwise around its center with an angular speed of 0.5 rad/s. A girl with a mass of 40 kgruns at a speed of 4 m/s towards the edge of the merry-go-round and jumps on, as shown. What is the angularvelocity (magnitude and direction) of the merry-go-round after the girl lands on it? Assume the merry-go-roundis a uniform disk and treat the girl...
A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is...
A 40 kg child (point mass) rides on the outer edge of a merry-go-round, which is a large disk of mass 150 kg and radius 1.5 m. The merry-go-round spins with an angular velocity of 12 rpm. What is the merry-go-round’s angular velocity in radians per second (rad/s)? What is the total rotational inertia (moment of inertia) of the child and merry-go-round together? What is the rotational kinetic energy (in joules) of the merry-go-round and child together? What magnitude of...
Ben and Jerry are standing at the center of a 134 kg merry-go-round of radius 1.30...
Ben and Jerry are standing at the center of a 134 kg merry-go-round of radius 1.30 m that is already spinning at 3.00 rad/s. They proceed to walk in opposite directions toward the edge of the merry-go-round. If Ben reaches the edge while Jerry is halfway between the center and the edge, what will be the new angular velocity (in rad/s) of the merry-go-round? Assume Ben and Jerry can be modeled as point masses of 32.0 kg and 21.0 kg,...
a 40 kg child is standing on the edge of a 100 kg merry go round(...
a 40 kg child is standing on the edge of a 100 kg merry go round( flat disk), with a radius of 4m. The merry go round is initially traveling at 20 rads/s. The child walks towards the center of the merry go round , until she is 0.5m from the center. What is the final angular speed other child at the new location?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT