(Solved): Three flat belts are utilized to transmit a power of 3kW per belt between a motor pulley, which i ...

Three flat belts are utilized to transmit a power of $$3\mathrm{kW}$$ per belt between a motor pulley, which is 150 $$\mathrm{mm}$$ in diameter and turns at $$1500\mathrm{rev}/\min$$, and a driven pulley, which is $$1000\mathrm{mm}$$ in diameter. Each belt is $$10\mathrm{mm}$$ thick and $$100\mathrm{mm}$$ wide and has a density of $$970\mathrm{kg}/{\mathrm{m}}^3$$. Assume the coefficient of friction between the pulley and belt is $$0.3$$ and the center distance is $$1000\mathrm{mm}$$. 1) Determine the value of tension in the tight side $$\left(T_1\right)$$ and the tension in the slack side $$\left(T_2\right)$$. 2) Calculate the maximum stress on the belt. Ans. (1.68 MPa) 3) Determine the speed of the driven pulley in rpm.