Question $2.$

$2\mathrm{.}1$ The following information applies to a V$-$belt drive transmitting $35$ kW :

a$.$ Effective diameter of motor pulley $=35mm$

b$.$ Speed of the motor pulley $=825\frac{r}{m}in$

c$.$ The $V-$groove angle of the pulley $=40$

d$.$ Coefficient of friction $=0,3$

e$.$ Contact angle of the belt $=188$

f$.$ Mass of the belt $=0,98kg$ per metre length

g$.$ Maximum allowable tension per belt $=740N$

h$.$ Efficiency $=79\%$

Determine:

$2\mathrm{.}1\mathrm{.}1$ The belt speed.

$2\mathrm{.}1\mathrm{.}2$ The centrifugal tension.

$2\mathrm{.}1\mathrm{.}3$ The input power.

$2\mathrm{.}1\mathrm{.}4$ The tension in the tight and slack sides of the belt.

$2\mathrm{.}1\mathrm{.}5$ The number of $V-$belts.