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Calculate the rotational inertia and rotational kinetic energy of a ball. Given: ramp, mass and radius of ball?

A 12.00 meter ramp is inclined at 30 degrees and a ball is held at the top of the ramp and then released. The ball rolls without slipping. The mass of the ball is 0.500 kg and its radius is 0.050 meters. The ball reaches the bottom of the ramp with a speed of 5.00 m/s.

A.) Calculate the rotational inertia of the ball

B.) Calculate the rotational kinetic energy of the ball.

Answers (3)

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A.) Calculate the rotational inertia of the ball

Use the following to solve:

1/2v^2 x ( mass + (inertia/radius^2)) = mgh

B.) Calculate the rotational kinetic energy of the ball.

Use the following to solve:

rotational KE = 1/2 x inertia x omega(rad/s)^2

omega = angular speed in rad/s = 5m/s / radius = 100 rad/s