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 $81 c m$ $81 cm$ , 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 · 2017-05-18T12:58:01

The work is $= 20.53 J$ $=20.53J$

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The load L=(300g)N#

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

Radius of wheel $R = 0.81 m$ $R=0.81m$

Taking moments about the center of the axle

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

$F \cdot 0.81 = 300 \cdot g \cdot 03$ $F*0.81=300*g*03$

$F = \frac{300 \cdot g \cdot 0.03}{0.81} = 108.89 N$ $F=(300*g*0.03)/0.81=108.89N$

The distance is $d = 2 π r = 0.06 π m$ $d=2pir=0.06pim$

The work is

$W = F \cdot d = 108.89 \cdot 0.06 π = 20.53 J$ $W=F*d=108.89*0.06pi=20.53J$

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 81cm81 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?