Question

A 57-tooth spur gear is in mesh with a 23- tooth pinion. The pd = 6 and the ? = 25°. The gearset transmits 125hp at 1000 pinion rpm. Find the torque on a) the pinion shaft and b) the gear shaft.

Answer 1

To find the torque on the pinion shaft, we need to calculate the torque on the gear shaft first. The torque on the gear shaft is found using the formula Torque = Power / Angular Velocity. Then, we can use the same formula to calculate the torque on the pinion shaft.

Step-by-step explanation:

To find the torque on the pinion shaft, we need to calculate the torque on the gear shaft first. We can use the formula:

Torque = Power / Angular Velocity

For the gear shaft, the power is given as 125 hp and the angular velocity can be found using the formula:

Angular Velocity = Pinion Speed / Gear Ratio

Substituting the given values, we have:

Angular Velocity = (1000 rpm) / (57/23) = 394.74 rpm

Now we can calculate the torque on the gear shaft:

Torque = (125 hp) / (394.74 rpm) = 0.316 hp/rpm

To find the torque on the pinion shaft, we can use the same formula. The power is still 125 hp, but now the angular velocity is the speed of the pinion, which is 1000 rpm:

Torque = (125 hp) / (1000 rpm) = 0.125 hp/rpm