An object with a mass of 4 kg4kg is hanging from an axle with a radius of 18 cm18cm. If the wheel attached to the axle has a radius of 24 cm24cm, how much work would it take to turn the wheel 32 cm32cm?

1 Answer
Mar 18, 2017

The work done is =9.41J=9.41J

Explanation:

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The load =4gN=4gN

Radius of axle r=0.18mr=0.18m

Radius of wheel R=0.24mR=0.24m

Taking moments about the center of the axle

F*0.24=4*g*0.18F0.24=4g0.18

F=(4*g*0.18)/0.24=3g=29.4NF=4g0.180.24=3g=29.4N

The work done is

W=F*dW=Fd

=29.4*0.32=9.41J=29.40.32=9.41J