An object with a mass of $300 k g$ $300 kg$ 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 a length equal to the circumference of the axle?

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Answer 1 · 2017-05-06T06:11:13

The work is $= 554.2 J$ $=554.2J$

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The load L=(300g)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

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

$F \cdot 0.12 = 300 \cdot g \cdot 0.06$ $F*0.12=300*g*0.06$

$F = \frac{300 \cdot g \cdot 0.06}{0.12} = 1470 N$ $F=(300*g*0.06)/0.12=1470N$

The distance is

$d = 2 \cdot π \cdot 0.06 = 0.38 m$ $d=2*pi*0.06=0.38m$

The work done is

$W = F d = 1470 \cdot 0.38 = 554.2 J$ $W=Fd=1470*0.38=554.2J$

An object with a mass of 300kg300 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 a length equal to the circumference of the axle?