An object with a mass of 4 kg4kg is hanging from an axle with a radius of 16 cm16cm. If the wheel attached to the axle has a radius of 8 cm8cm, how much work would it take to turn the wheel 6 cm6cm?

1 Answer
May 25, 2017

The work is =4.7J=4.7J

Explanation:

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The load L=(4g)N#

Radius of axle r=0.16mr=0.16m

Radius of wheel R=0.08mR=0.08m

Taking moments about the center of the axle

F*R=L*rFR=Lr

F*0.08=4*g*0.16F0.08=4g0.16

F=(4*g*0.16)/0.08=78.4NF=4g0.160.08=78.4N

The force is =78.4N=78.4N

The work is

W=F*dW=Fd

The distance is =0.06m=0.06m

The work is

W=78.4*0.06=4.7JW=78.40.06=4.7J