An object with a mass of $8 kg$ is hanging from an axle with a radius of $5 cm$ . If the wheel attached to the axle has a radius of $65 cm$ , 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 · 2017-07-01T05:45:57

The work is $=1.89J$

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The load $L=(8g)N$

Radius of axle $r=0.05m$

Radius of wheel $R=0.65m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.65=8*g*0.05$

$F=(8*g*0.05)/0.65=6.03N$

The force is $F=6.03N$

The distance is $d=2pir=0.1pi=0.31m$

The work is

$W=F*d=6.03*0.31=1.89J$

An object with a mass of 8 kg8 kg is hanging from an axle with a radius of 5 cm5 cm. If the wheel attached to the axle has a radius of 65 cm65 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?