B F2 mm FIGURE P13.4 13.6 A timing belt similar to that shown in Figure P13.4 having 0.05 lb/in. weight is used to transfer power from an engine to a...

please solve this question according to the given data above

BF2mmFIGURE P13.413.6A timing belt similar to that shown in Figure P13.4 having 0.05 lb/in. weight is usedto transfer power from an engine to a grinding wheel. The largest permissible forcein the belt equals F, = 500 lb, and both engine and wheel rotate at the same speed ofn = 4200 rpm. What is the optimum pulley pitch radius r for largest power transfer?Hint: maximum power, P = V(F1 - F), transfer occurs when dP/AV = 0, where Fc isthe centrifugal force.