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

Mar 1, 2017

The work is $= 369.5 J$

#### Explanation:

The load is $= 200 g N$

The radius of axle is $= 0.06 m$

The radius of wheel is $= 0.12 m$

The effort is $= E k g$

Taking moments about the center of the axle

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

$E = \frac{200 g \cdot 0.06}{0.12} = 100 g N$

Force =100gN

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

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