Suppose an external torque T1 is applied to Shaft 1, which has polar area moment
ID: 1856442 • Letter: S
Question
Suppose an external torque T1 is applied to Shaft 1, which has polar area moment of inertia J1. Gear 1 is mounted on Shaft 1 and has a tooth no. N1. Gear 1 drives Gear 2, which has tooth no. N2 and is mounted on Shaft 2, which has a polar moment of inertia J2. a) Assuming that Shaft 2 carries no torque (it freely spins), and that the inertia of each gear is negligible, determine the angular acceleration of Shaft 2. b) Find the optimal tooth no. ratio, N2/N1 for maximal angular acceleration of Shaft 2.Explanation / Answer
a>. we have angular acceleration of shaft 2=T1N2/J1N1.........................B>. N2/N2=J2/J1