An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $15 c m$ $15 cm$ . 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 · 2017-06-30T05:56:21

The work is $= 24.46 J$ $=24.46J$

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

Radius of axle $r = 0.15 m$ $r=0.15m$

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

Taking moments about the center of the axle

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

$F \cdot 0.08 = 4 \cdot g \cdot 0.15$ $F*0.08=4*g*0.15$

$F = \frac{4 \cdot g \cdot 0.15}{0.08} = 73.5 N$ $F=(4*g*0.15)/0.08=73.5N$

The force is $F = 73.5 N$ $F=73.5N$

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

The work is

$W = F \cdot d = 73.5 \cdot 0.36 = 26.46 J$ $W=F*d=73.5*0.36=26.46J$

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 15cm15 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?