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 $15 c m$ $15 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

Question

1373 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-02T16:47:43

The work done is $= 295.6 J$ $=295.6J$

enter image source here

The load L=(200g)N#

Radius of axle $r = 0.06 m$ $r=0.06m$

Radius of wheel $R = 0.15 m$ $R=0.15m$

Taking moments about the center of the axle

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

$F \cdot 0.15 = 200 \cdot g \cdot 0.06$ $F*0.15=200*g*0.06$

$F = \frac{200 \cdot g \cdot 0.06}{0.15} = 784 N$ $F=(200*g*0.06)/0.15=784N$

The circumference of axle is $d = 2 π r = 0.12 π$ $d=2pir=0.12pi$

The work done is

$W = F d = 784 \cdot 0.12 π = 295.6 J$ $W=Fd=784*0.12pi=295.6J$

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 15cm15 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?