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?

Question

1353 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-01T14:59:40

The work is $=369.5J$

enter image source here

The load is $=200gN$

The radius of axle is $=0.06m$

The radius of wheel is $=0.12m$

The effort is $=Ekg$

Taking moments about the center of the axle

$200g*0.06=E*0.12$

$E=(200g*0.06)/0.12=100gN$

Force =100gN

Distance $=2*pi*0.06=0.12pi$

Work done $=100g*0.12pi=369.5J$

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