An object with a mass of $4 kg$ is hanging from an axle with a radius of $4 cm$ . If the wheel attached to the axle has a radius of $24 cm$ , how much work would it take to turn the wheel $4 cm$ ?

Question

1409 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-18T09:31:16

The work is $=0.26J$

![www.odicis.org](useruploads.socratic.org)

The load is $L=4gN$

The radius of the axle is $r=0.04m$

The radius of the wheel is $R=0.24m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*0.24=4g*0.04$

$F=(4g*0.04)/0.24=6.53N$

The force is $F=6.53N$

The distance is $=0.04m$

The work done is

$W=Fd=6.53*0.04=0.26J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 4 cm4 cm. If the wheel attached to the axle has a radius of 24 cm24 cm, how much work would it take to turn the wheel 4 cm4 cm?