Question

A rope is wrapped around the rim of a large uniform solid disk of mass 315 kg and radius 2.00 m. The horizontal dis...


A rope is wrapped around the rim of a large uniform solid disk of mass 315 kg and radius 2.00 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest, what is its angular speed in rev/s at the end of 1.95 s?

Answer

SOlution:

Given that

m = 315 kg

r = 2 m

t = 1.95 s

F = 195 N

as given in the questionm = 315 kg  r = 2 m  t = 1.95 s  F = 195 Ntorque is given byT = Fr = Iα  Fr = I(2πω/t)Fr =mr22(2πω/t)ω = Ft2πmron putting the valuesω = 195x1.952πx315x2ω =0.096 rev/sthis is the angular speed of the disk

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