An object with a mass of $300 k g$ $300 kg$ is hanging from an axle with a radius of $3 c m$ $3 cm$ . If the wheel attached to the axle has a radius of $120 c m$ $120 cm$ , 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 · 2017-04-09T06:44:00

The work done is $= 13.85 J$ $=13.85J$

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

Radius of axle $r = 0.03 m$ $r=0.03m$

Radius of wheel $R = 1.2 m$ $R=1.2m$

Taking moments about the center of the axle

$F \cdot 1.2 = 300 \cdot g \cdot 0.03$ $F*1.2=300*g*0.03$

$F = \frac{300 \cdot g \cdot 0.03}{1.2} = 73.5 N$ $F=(300*g*0.03)/1.2=73.5N$

The distance is

$d = 2 \cdot π \cdot 0.03 = 0.06 π$ $d=2*pi*0.03=0.06pi$

The work done is

$W = F d = 73.5 \cdot 0.06 π = 13.85 J$ $W=Fd=73.5*0.06pi=13.85J$

An object with a mass of 300kg300 kg is hanging from an axle with a radius of 3cm3 cm. If the wheel attached to the axle has a radius of 120cm120 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?