An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $21 c m$ $21 cm$ . If the wheel attached to the axle has a radius of $42 c m$ $42 cm$ , how much work would it take to turn the wheel $25 c m$ $25 cm$ ?

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Answer 1 · 2018-04-25T15:15:49

The work is $= 6.125 J$ $=6.125J$

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The load is $L = 5 g N$ $L=5gN$

The radius of the axle is $r = 0.21 m$ $r=0.21m$

The radius of the wheel is $R = 0.42 m$ $R=0.42m$

The effort is $= F N$ $=FN$

The acceleration due to gravity is $g = 9.8 m s^{- 2}$ $g=9.8ms^-2$

Taking moments about the center of the axle

$F \cdot 0.42 = 5 g \cdot 0.21$ $F*0.42=5g*0.21$

$F = \frac{5 g \cdot 0.21}{0.42} = 24.5 N$ $F=(5g*0.21)/0.42=24.5N$

The force is $F = 24.5 N$ $F=24.5N$

The distance is $d = 0.25 m$ $d=0.25m$

The work done is

$W = F d = 24.5 \cdot 0.25 = 6.125 J$ $W=Fd=24.5*0.25=6.125J$

An object with a mass of 5 kg5kg5 kg is hanging from an axle with a radius of 21 cm21cm21 cm. If the wheel attached to the axle has a radius of 42 cm42cm42 cm, how much work would it take to turn the wheel 25 cm25cm25 cm?