An object with a mass of $200 kg$ is hanging from an axle with a radius of $8 cm$ . If the wheel attached to the axle has a radius of $24 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2017-04-24T15:25:48

The work is $=328.4J$

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The load L=(200g)N#

Radius of axle $r=0.08m$

Radius of wheel $R=0.24m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.24=200*g*0.08$

$F=(200*g*0.08)/0.24=653.3N$

Distance is $d=2pir=2*pi*0.08=(0.16pi)m$

Work is $W=Fd=653.3*0.16pi=328.4J$

An object with a mass of 200 kg200 kg is hanging from an axle with a radius of 8 cm8 cm. If the wheel attached to the axle has a radius of 24 cm24 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?