An object with a mass of #2 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #15 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Mar 13, 2018

Answer:

The work is #=47.3J#

Explanation:

www.odicis.org

The load is #L=2gN#

The radius of the axle is #r=0.24m#

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

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.15=2g*0.24#

#F=(2g*0.24)/0.15=31.36N#

The force is #F=31.36N#

The distance is #d=2pir=2pi*0.24=0.48pim#

The work done is

#W=F*d=31.36*0.48pi=47.3J#