An object with a mass of #300 kg# is hanging from an axle with a radius of #3 cm#. If the wheel attached to the axle has a radius of #96 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Feb 22, 2018

Answer:

The work is #=554.2J#

Explanation:

www.odicis.org

The load is #L=300gN#

The radius of the axle is #r=0.03m#

The radius of the wheel is #R=0.96m#

The effort is #=FN#

The acceleration due to gravity is #g=9.8ms^-2#

Taking moments about the center of the axle

#F*0.96=300g*0.03#

#F=(300g*0.03)/0.96=91.875N#

The force is #F=91.875N#

The distance is #d=2piR=2*pi*0.96m#

The work done is

#W=F*d=91.875*2*pi*0.96=554.2J#