Assume that all gear blanks are solid circular cylinders unless specified otherwise.In Fig...

Assume that all gear blanks are solid circular cylinders unless specified otherwise.

In Fig. 1, gear 1 has 24 teeth and gear 2 has 70 teeth of Pd = 4. Gear 3 has 20 teeth and gear 4 has 50 teeth of Pd = 3.

(a) Find the value of the center distance between shafts A and C.

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(b) Find the rpm of gear 4 if gear 1 turns 1200 rpm.

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(c) Find the torque at shaft C if the input horsepower at shaft A is 50. The efficiency of each pair of gears is 98%.

Figure 1