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 $14 c m$ $14 cm$ , how much work would it take to turn the wheel $7 c m$ $7 cm$ ?

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Answer 1 · 2018-01-19T17:42:38

The work is $= 5.145 J$ $=5.145J$

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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 $R = 0.14 m$ $R=0.14m$

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

$F \cdot 0.14 = 5 g \cdot 0.21$ $F*0.14=5g*0.21$

$F = \frac{5 g \cdot 0.21}{0.14} = 73.5 N$ $F=(5g*0.21)/0.14=73.5N$

The force is $F = 73.5 N$ $F=73.5N$

The distance is $d = 0.07 m$ $d=0.07m$

The work is $W = F \times d$ $W=Fxxd$

$W = 73.5 \cdot 0.07 = 5.145 J$ $W=73.5*0.07=5.145J$

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 14 cm14cm14 cm, how much work would it take to turn the wheel 7 cm7cm7 cm?