A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad/s. The radius of the cylinder is 0.25 m. The kinetic energy associated with the rotation of the cylinder is

A solid cylinder of mass 20 kg rotates about its axis with angular spe

1.	A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad/s. The radius of the cylinder is 0.25 m. The kinetic energy associated with the rotation of the cylinder is
Answer» 3025 J 3225 J 3250 J 3125 J Solution :Kinetic energy of rotation = `(1)/(2) I OMEGA^(2)` `= (1)/(2) xx ((1)/(2) MR^(2)) omega^(2)= (1)/(4) xx 20 xx (0.25)^(2) xx 100 xx 100 = 3125 J`