A spherical solid ball of 1 kg mass and radius 3 cm is rotating about an axis passing through its centre with an angular velocity of 50 rad/s. Calculate the kinetic energy of rotation.

Explanation

`{:(E = (1)/(2) I omega^(2) = (1)/(cancel(2)) xx ((cancel(2))/(5)mr^(2))omega^(2)),(E = (1)/(5)mr^(2) omega^(2)),(E = (1)/(5) xx 1 xx (3 xx 10^(-2))^(2) (50)^(2)),(E = (1)/(cancel(5))xx 9 xx 10^(cancel(-4)^(2)) xx overset(5) cancel(25) xx 10^(cancel((-2)))),(E = 45 xx 10^(-2)),(E = 0.45 J):}`