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Gear train problem. Find Torque?
A compound gear train as shown in the following figure, Gear 1 has 24 teeth and Gear 2 has 70 teeth of diametral pitch of 4. Gear 3 has 30 teeth and Gear 4 has 50 teeth of diametral pitch of 3.
(b)Find the torque at Shaft c if the input horsepower at Shaft a is 50? Efficiency of each pair of gears is 98 percent.
Sorry - UPDATE: Gear 1 spins at 1200 rpm and it's input shaft HP is 50
1 Answer
- 6 years ago
Find each of the angular velocities by the tooth ratio. The 70 tooth gear will rotate at 24/70 of the rpm the 24 tooth does. Once you have your angular velocities, for each 98% efficient gear change, torque x omega out = .98 x torque x omega in. One equation one unknown, work input to output. Remember to watch units. 2pi radians in a revolution, 60 seconds in a minute....
Have fun!