Question

1. The state fair has a merry-go-round ride of radius 15 m. Child A is sitting on a unicorn near the edge of the platform. Child B is sitting on a dragon about halfway from the center to the edge of the platform. Which child has the larger angular velocity?

a) They both have the same angular velocity.

b) I don't know, but child B is clearly cooler for picking the dragon.

c) Child A

d) Child B

2. Two spheres look identical and have the same mass. However, one is hollow (I = 2 3 M R 2) and one is solid (I = 2 5 M R 2). You decide to roll them both down the same incline because you know...

a) ...the hollow sphere will make it down first due to its larger moment of inertia.

b) ...the solid sphere will make it down first due to its smaller moment of inertia.

3. The state fair has a merry-go-round ride of radius 15 m. Child A is sitting on a unicorn near the edge of the platform. Child B is sitting on a dragon about halfway from the center to the edge of the platform. Which child has the larger linear velocity?

a) Child B

b) They both have the same linear velocity.

c) Child A

d) I don't know, but child B is clearly cooler for picking the dragon.

Answer 1

1. a) They both have same angular velocity.

As both children are covering equal angle in equal time therefore their angular displacement and angular velocity ω , will be equal .

2. b) The solid sphere will make it down first due to its smaller moment of inertia.

3. c) Child A

We know linear velocity . The angular velocity of both child A and child B is same. But since the radius of child A is greater than that of child B, the linear velocity of child A is greater than that of child B