If the difference between tight and slack side tensions for a leather belt does not exceed \(100 \mathrm{~N} / \mathrm{cm}\) of width for a belt \(5 \mathrm{~mm}\) thick, find the maximum stress in the belt. Assume the following data:

Angle of lap \(=170^{\circ}\), coefficient of friction \(=0.25\), density of leather \(=10^{-3} \mathrm{~kg} / \mathrm{cm}^{3}\), belt speed \(=1000 \mathrm{~m} / \mathrm{min}\).