Example $C03\mathrm{.}01$

Question

A pulley of $150$ mm effective diameter running at $1500re\frac{v}{m}in$ drives a follower of $750$ mm

diameter, the two shafts being parallel, $1$ m apart, and the free parts of the belt considered

straight. The belt has a mass of $0\mathrm{.}4k\frac{g}{m}$ and the maximum tension is to be $720$ N $.$

If $=0\mathrm{.}4,$ estimate the maximum tension difference allowing for inertia of the belts.

If the belt has a cross$-$sectional area of $320m{m}^2$ and E for the material is $300M\frac{N}{m^2},$ estimate

the speed of the driven pulley at the maximum condition and the power transmitted to it$.$