An object with a mass of $5 kg$ is hanging from an axle with a radius of $8 cm$ . If the wheel attached to the axle has a radius of $42 cm$ , 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 · 2017-04-09T07:23:03

The work done is $=4.69J$

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The load $=(5g)N$

Radius of axle $r=0.08m$

Radius of wheel $R=0.42m$

Taking moments about the center of the axle

$F*0.42=5*g*0.08$

$F=(5*g*0.08)/0.42=9.33N$

The distance is

$d=2*pi*0.08=0.16pi$

The work done is

$W=Fd=9.33*0.16pi=4.69J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 8 cm8 cm. If the wheel attached to the axle has a radius of 42 cm42 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?