The ratio between rotational energy and translational kinetic energy is
Explanation:
The translational kinetic energy of the ball is given by:
where
m is the mass of the ball
v is the speed of the ball
The rotational kinetic energy of the ball is given by
where
I is the moment of inertia
is the angular speed
The moment of inertia of a solid sphere through its axis is given by
where
m is the mass of the ball
R is its radius
Substituting into the previous equation,
The ratio between the two energies is
And substituting:
R = 3.91 cm = 0.0391 m
v = 33.6 m/s
we find:
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