An object with a mass of 3 kg3kg is hanging from an axle with a radius of 2 cm2cm. If the wheel attached to the axle has a radius of 16 cm16cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Apr 23, 2017

The work is =0.46J=0.46J

Explanation:

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The load L=(3g)N#

Radius of axle r=0.02mr=0.02m

Radius of wheel R=0.16mR=0.16m

Taking moments about the center of the axle

F*R=L*rFR=Lr

F*0.16=3*g*0.02F0.16=3g0.02

F=(3*g*0.02)/0.16=3.675NF=3g0.020.16=3.675N

Distance is d=2pir=2*pi*0.02=0.04pimd=2πr=2π0.02=0.04πm

Work is W=Fd=3.675*0.04pi=0.46JW=Fd=3.6750.04π=0.46J