An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $8 c m$ $8 cm$ . If the wheel attached to the axle has a radius of $8 c m$ $8 cm$ , how much work would it take to turn the wheel $36 c m$ $36 cm$ ?

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Answer 1 · 2017-06-22T09:37:36

The work is $= 14.1 J$ $=14.1J$

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The load $L = (4 g) N$ $L=(4g)N$

Radius of axle $r = 0.08 m$ $r=0.08m$

Radius of wheel $R = 0.08 m$ $R=0.08m$

Taking moments about the center of the axle

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

$F \cdot 0.08 = 4 \cdot g \cdot 0.08$ $F*0.08=4*g*0.08$

$F = \frac{4 \cdot g \cdot 0.08}{0.08} = 39.2 N$ $F=(4*g*0.08)/0.08=39.2N$

The force is $F = 39.2 N$ $F=39.2N$

The distance is $d = 0.36 m$ $d=0.36m$

The work is $W = F d = 39.2 \cdot 0.36 = 14.1 J$ $W=Fd=39.2*0.36=14.1J$

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 8cm8 cm. If the wheel attached to the axle has a radius of 8cm8 cm, how much work would it take to turn the wheel 36cm36 cm?