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 $90 cm$ , 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 · 2017-10-29T07:00:10

The work is $=554.2J$

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The load is $L=300gN$

The radius of the axle is $r=0.03m$

The radius of the wheel is $R=0.90m$

The effort is $=FN$

The acceleration due to gravity is $g=9.8ms^-2$

Taking moments about the center of the axle

$F*0.9=300g*0.03$

$F=300g*0.03/0.9=98N$

The force is $F=98N$

The distance is $d=2piR=2pi*0.9=1.8pim$

The work is $W=Fd=98*1.8pi=554.2J$

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 90 cm90 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?