In a flat belt drive, Driver pulley of 200mm diameter running at 1000 RPM drives another pulley of 100mm diameter with a total slip of 2%. Then speed Of Driven pulley is

Concept:

The velocity ratio of belt drive with slip is given by

\(\frac{{{N_2}}}{{{N_1}}} = \frac{{{D_1}}}{{{D_2}}}\left( {1 - \frac{{{S}}}{{100}}} \right)\)

N1, D1, S1 = Speed diameter and the slip of the driver pulley

N2, D2, S2 = Speed diameter and the slip of the driven pulley

Calculation:

Given:

D1 = D2 , S1 = 2%

\(\frac{{{N_2}}}{{{N_1}}} = \frac{{{D_1}}}{{{D_2}}}\left( {1 - \frac{{{S}}}{{100}}} \right) =\frac{{{200}}}{{{100}}}\left( {1 - \frac{{{2}}}{{100}}} \right)= 1.96\)

∴ \(N_2=\)1.96× 1000 = 1960