An object with a mass of 3 kg3kg is hanging from an axle with a radius of 6 cm6cm. If the wheel attached to the axle has a radius of 12 cm12cm, how much work would it take to turn the wheel 8 cm8cm?

1 Answer
Jun 15, 2017

The work is =1.176J=1.176J

Explanation:

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The load L=(3g)NL=(3g)N

Radius of axle r=0.06mr=0.06m

Radius of wheel R=0.12mR=0.12m

Taking moments about the center of the axle

F*R=L*rFR=Lr

F*0.12=3*g*0.06F0.12=3g0.06

F=(3*g*0.06)/0.12=14.7NF=3g0.060.12=14.7N

The force is F=14.7NF=14.7N

The distance is d=0.08md=0.08m

The work is W=F*d=14.7*0.08=1.176JW=Fd=14.70.08=1.176J