An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $21 c m$ $21 cm$ . If the wheel attached to the axle has a radius of $42 c m$ $42 cm$ , how much work would it take to turn the wheel $12 c m$ $12 cm$ ?

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Answer 1 · 2017-07-27T13:25:45

The work is $= 2.94 J$ $=2.94J$

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The load $L = (5 g) N$ $L=(5g)N$

Radius of axle $r = 0.21 m$ $r=0.21m$

Radius of wheel $R = 0.42 m$ $R=0.42m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 0.42 = 5 g \cdot 0.21$ $F*0.42=5g*0.21$

$F = \frac{5 \cdot g \cdot 0.21}{0.42} = 24.5 N$ $F=(5*g*0.21)/0.42=24.5N$

The force is $F = 24.5 N$ $F=24.5N$

The distance is $= 0.12 m$ $=0.12m$

The work is $= 24.5 \cdot 0.12 = 2.94 J$ $=24.5*0.12=2.94J$

An object with a mass of 5 kg5kg5 kg is hanging from an axle with a radius of 21 cm21cm21 cm. If the wheel attached to the axle has a radius of 42 cm42cm42 cm, how much work would it take to turn the wheel 12 cm12cm12 cm?