An object with a mass of $200 kg$ is hanging from an axle with a radius of $6 cm$ . If the wheel attached to the axle has a radius of $15 cm$ , 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 · 2017-05-02T16:47:43

The work done is $=295.6J$

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The load L=(200g)N#

Radius of axle $r=0.06m$

Radius of wheel $R=0.15m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.15=200*g*0.06$

$F=(200*g*0.06)/0.15=784N$

The circumference of axle is $d=2pir=0.12pi$

The work done is

$W=Fd=784*0.12pi=295.6J$

An object with a mass of 200 kg200 kg is hanging from an axle with a radius of 6 cm6 cm. If the wheel attached to the axle has a radius of 15 cm15 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?