Question

In: Physics

A solid bowling ball with a radius of 10.9 cm and a mass of 7.3 kg...

A solid bowling ball with a radius of 10.9 cm and a mass of 7.3 kg rolls along a bowling alley at a linear speed of 2.6 m/s.
What is its translational kinetic energy? What is its rotational kinetic energy

Expert Solution

Given, mass (m) of the ball = 7.3 kg

radius (R) of the ball = 10.9 cm = 0.109 m

linear speed (v) of the ball is 2.6 m/s.

The translational kinetic energy is given by

And the rotational kinetic energy is given by

where m is mass of the object, v is linear speed, 'I' is the moment of inertia of the object, and is rotational speed.

can be calculated as

And the moment of inertia of the ball (solid sphere) can be calculated as

So, the translational kinetic energy of the ball is

and the rotational kinetic energy of the ball is

genius_generous answered 9 months ago

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