An object with a mass of $200 k g$ $200 kg$ is hanging from an axle with a radius of $6 c m$ $6 cm$ . If the wheel attached to the axle has a radius of $12 c m$ $12 cm$ , 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 · 2017-03-01T14:59:40

The work is $= 369.5 J$ $=369.5J$

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The load is $= 200 g N$ $=200gN$

The radius of axle is $= 0.06 m$ $=0.06m$

The radius of wheel is $= 0.12 m$ $=0.12m$

The effort is $= E k g$ $=Ekg$

Taking moments about the center of the axle

$200 g \cdot 0.06 = E \cdot 0.12$ $200g*0.06=E*0.12$

$E = \frac{200 g \cdot 0.06}{0.12} = 100 g N$ $E=(200g*0.06)/0.12=100gN$

Force =100gN

Distance $= 2 \cdot π \cdot 0.06 = 0.12 π$ $=2*pi*0.06=0.12pi$

Work done $= 100 g \cdot 0.12 π = 369.5 J$ $=100g*0.12pi=369.5J$

An object with a mass of 200kg200 kg is hanging from an axle with a radius of 6cm6 cm. If the wheel attached to the axle has a radius of 12cm12 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?