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24 August, 15:07

Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass of 1.25 kg, and rotate withthe same angular speed of 235 rad/s, but they differ in radius.

(a) What is the rotational kinetic energy ofthe smaller cylinder, of radius 0.32m?

J

(b) What is the rotational kinetic energy of the larger cylinder, of radius 0.7 m?

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  1. 24 August, 16:57
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    mass, m = 1.25 kg

    angular speed, ω = 235 rad/s

    The moment of inertia of the cylinder is given by

    I = 1/2 mr²

    (a) the kinetic energy of rotation is given by

    K = 1/2 Iω²

    K = 1/4 mr²ω²

    where, m is the mass of cylinder and r be the radius of cylinder

    K = 0.25 x 1.25 x 0.32 x 0.32 x 235 x 235

    K = 1767.2 J

    (b) the kinetic energy of rotation is given by

    K = 1/2 Iω²

    K = 1/4 mr²ω²

    where, m is the mass of cylinder and r be the radius of cylinder

    K = 0.25 x 1.25 x 0.7 x 0.7 x 235 x 235

    K = 8456.33 J
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