An object with a mass of $8 kg$ is hanging from an axle with a radius of $27 cm$ . If the wheel attached to the axle has a radius of $45 cm$ , 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 · 2017-04-04T06:22:10

The work done is $=79.8J$

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The load $=(8g)N$

Radius of axle $r=0.27m$

Radius of wheel $R=0.45m$

Taking moments about the center of the axle

$F*0.45=8*g*0.27$

$F=(8*g*0.27)/0.45=47.04N$

Circumference of the axle, $d=2pi*0.27m$

Work done $=F*d$

$=47.04*2pi*0.27$

$=79.8J$

An object with a mass of 8 kg8 kg is hanging from an axle with a radius of 27 cm27 cm. If the wheel attached to the axle has a radius of 45 cm45 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?