An object with a mass of 300 kg300kg is hanging from an axle with a radius of 5 cm5cm. If the wheel attached to the axle has a radius of 15 cm15cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Aug 24, 2017

The work done is =307.9J=307.9J

Explanation:

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The load is L=300gNL=300gN

The radius of the axle is r=0.05mr=0.05m

The radius of the wheel is R=0.15mR=0.15m

The effort is =FN=FN

Taking moments about the center of the axle

F*0.15=300g*0.05F0.15=300g0.05

F=300g*0.05/0.15=980NF=300g0.050.15=980N

The force is F=980NF=980N

The distance is d=2pir=2*pi*0.05=0.1pid=2πr=2π0.05=0.1π

The work is W=980*0.1pi=307.9JW=9800.1π=307.9J