Rotational Motion Review

A child kicks a ball which rolls across a field with a velocity of 5 m/s. You may assume the ball doesn’t slip, and treat it as a hollow sphere of mass 0.43 kg and radius 0.11 meter.

What is the ball’s rotational velocity?

• 45.5 rad/s

• 0.047 rad/s

• 413 rad/s

• 0.0605 rad/s

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A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h.

If the plane is frictionless, what is the speed of the center of mass of the sphere at the bottom of the incline?

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Which equation defines the relationship between linear velocity and angular velocity?

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Which equation defines rotational kinetic energy?

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A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.80 × 10⁻² kg·m², and a radius of 0.100 m. If it rolls down the lane without slipping at an angular speed of 4.00 rad/s, what is its rotational kinetic energy?

• 0.280 J

• 0.448 J

• 0.224 J

• 11.2 J

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• 12 J

• 24 J

• 36 J

• 48 J

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Two uniform solid balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down a high incline. They start together from rest at the top of the incline. Which one will reach the bottom of the incline first?

• The small sphere arrives first.
• The large sphere arrives first.
• Both reach the bottom at the same time.

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Because a hollow ball has a higher moment of inertia than a solid ball...

• The solid ball rolls faster
• The solid ball weighs more.
• The solid ball weighs less.
• They both accelerate at the same rate.

What is the kinetic energy of a 3 kg solid disk (I = 1/2mr2) with a diameter of 80 cm rolling at 4 m/s?

• 12 J

• 24 J

• 36 J

• 48 J

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