Example $9$: A fan to rotate at $1000$ rpm is to be driven by a $11kW,1460rpm$ electric motor. Sets of V$-$belts of B$-$size having standard nominal length of $1524$ mm are available in stock and also matching grooved pulleys of $125,132,140,150,160,170,180,190,200,224,250,280,300,315,355,375,400,450,500$ mm pitch diameters are existing. Find by calculations whether the drive can be constructed with the existing items and if not, suggest suitable alterations. Specify the drive completely including the pulley diameters, centre distance between the pulleys and the number of belts to be used.

The kW rating of a B$-$size V$-$belt can be determined by the formula:

$kW=(0\mathrm{.}79V^{-0\mathrm{.}09}-\frac{51\mathrm{.}3}{D_e}-0\mathrm{.}000131V^2)V$

Where $De=175mm$ and V is the belt speed in $\frac{m}{s}.$

The pitch length of the belt $=$ inside length $+43$ mm $.$ Consider the service factor $=1\mathrm{.}3$ and angle of correction factor $=0\mathrm{.}96$ and length correction factor $=1$