An object with a mass of $7 kg$ is hanging from an axle with a radius of $8 cm$ . If the wheel attached to the axle has a radius of $56 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

Question

1391 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-14T13:27:58

34.496J

The mass of the object lifted = $(m)=7kg$

The radius of the axle $(r)=8cm=0.08m$

The radius of the Wheel attached with the axle

$R=56cm=0.56m$

We are to find out the work done to turn the wheel a length

equal to the circumference of the axle. When turning of axle

equal to its circumference $(2pir)$ occurs ,the weight is lifted

to the same height $(h= "circumference of axle")$ against the gravity .

Hence the work done $W=mgh=mxxgxx2pir=7xx9.8xx2xx22/7xx0.08=34.496J$

An object with a mass of 7 kg7 kg is hanging from an axle with a radius of 8 cm8 cm. If the wheel attached to the axle has a radius of 56 cm56 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?