An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $6 c m$ $6 cm$ . If the wheel attached to the axle has a radius of $12 c m$ $12 cm$ , how much work would it take to turn the wheel $8 c m$ $8 cm$ ?

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Answer 1 · 2017-06-15T05:45:10

The work is $= 1.176 J$ $=1.176J$

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The load $L = (3 g) N$ $L=(3g)N$

Radius of axle $r = 0.06 m$ $r=0.06m$

Radius of wheel $R = 0.12 m$ $R=0.12m$

Taking moments about the center of the axle

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

$F \cdot 0.12 = 3 \cdot g \cdot 0.06$ $F*0.12=3*g*0.06$

$F = \frac{3 \cdot g \cdot 0.06}{0.12} = 14.7 N$ $F=(3*g*0.06)/0.12=14.7N$

The force is $F = 14.7 N$ $F=14.7N$

The distance is $d = 0.08 m$ $d=0.08m$

The work is $W = F \cdot d = 14.7 \cdot 0.08 = 1.176 J$ $W=F*d=14.7*0.08=1.176J$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 6cm6 cm. If the wheel attached to the axle has a radius of 12cm12 cm, how much work would it take to turn the wheel 8cm8 cm?