In: Physics
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
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