An object with a mass of $300 k g$ $300 kg$ is hanging from an axle with a radius of $5 c m$ $5 cm$ . If the wheel attached to the axle has a radius of $125 c m$ $125 cm$ , 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 · 2017-07-18T05:10:09

The work is $= 36.95 J$ $=36.95J$

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The load $L = (300 g) N$ $L=(300g)N$

Radius of axle $r = 0.05 m$ $r=0.05m$

Radius of wheel $R = 1.25 m$ $R=1.25m$

Taking moments about the center of the axle

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

$F \cdot 1.25 = 300 g \cdot 0.05$ $F*1.25=300g*0.05$

$F = \frac{300 \cdot g \cdot 0.05}{1.25} = 117.6 N$ $F=(300*g*0.05)/1.25=117.6N$

The force is $F = 117.6 N$ $F=117.6N$

The distance is $d = 2 \cdot π \cdot 0.05 = 0.1 π m$ $d=2*pi*0.05=0.1pim$

The work is

$W = F d = 117.6 \cdot 0.1 π = 36.95 J$ $W=Fd=117.6*0.1pi=36.95J$

An object with a mass of 300kg300 kg is hanging from an axle with a radius of 5cm5 cm. If the wheel attached to the axle has a radius of 125cm125 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?