A coin is of mass 4.8 kg and radius 1 m is rolling on a horizontal surface without sliding, with an angular velocity of 600 rad min - 1 . The total kinetic energy of the coin is

Question

A coin is of mass 4.8 kg and radius 1 m is rolling on a horizontal surface without sliding, with an angular velocity of 600 rad min - 1 . The total kinetic energy of the coin is, 360 J, 1440 π 2 J, 4000 π 2 J, 600 π 2 J

MARKS App · Accepted Answer

Angular velocity is given by, ω = 600 rad min - 1 ω = 10 rad s - 1 k = 1 2 I ω 2 + 1 2 m v 2 = 1 2 × 1 2 m r 2 ω 2 + 1 2 × m ω r 2 = 1 4 × m ω 2 r 2 + 1 2 m ω 2 r 2 = 1 4 + 1 2 m ω 2 r 2 = 360 J

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