Print 11 Calculator Penodic Table stion 14 of 14 Map penstax College Physics pre

Question

Print 11 Calculator Penodic Table stion 14 of 14 Map penstax College Physics presented by Sapling Learning While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. Find the magnitude of the angular acceleration produced given the mass lifted is 13.5 kg at a distance of 28.0 cm from the knee joint, the moment of inertia of the lower leg is 0.900 kg- m2, the muscle force is 1430 N, and its effective perpendicular lever arm is 3.45 cm. Number rad/ s? How much work is done if the leg rotates through an angle of 30.0 with a constant force exerted by the muscle? Nu

Explanation / Answer

apply the formula for torque T    = Fr = I alpha

whereF is force

r is lever arm

I is moment of inertia

ans Alpha is angular accleration

so here

A = T/I

A = 1430/0.9

A = 1.58 e 3   rad/s^2

apply the formula for Work done W = 0.5 I W^2

moment of Muscle = I = 0.5 mL^2

I = 0.5 * 13.5 * 0.28 *0.28

I = 0.53 Kgm^2/s

so

Work done W = Fs cos theta

W = 1430 * 0.0345 * cos 30

W = 42.72 Jouels

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