An object with a mass of $300 kg$ is hanging from an axle with a radius of $3 cm$ . If the wheel attached to the axle has a radius of $120 cm$ , 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 · 2017-04-09T06:44:00

The work done is $=13.85J$

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The load $=(300g)N$

Radius of axle $r=0.03m$

Radius of wheel $R=1.2m$

Taking moments about the center of the axle

$F*1.2=300*g*0.03$

$F=(300*g*0.03)/1.2=73.5N$

The distance is

$d=2*pi*0.03=0.06pi$

The work done is

$W=Fd=73.5*0.06pi=13.85J$

An object with a mass of 300 kg300 kg is hanging from an axle with a radius of 3 cm3 cm. If the wheel attached to the axle has a radius of 120 cm120 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?