Question

A pair of spur gears is designed to transmit 20 kW power at a pitch line velocity of 10 m/s. Diameter of the driving gear is 0.5 m. The tangential force, in N, between the driver and the driven gear is ................. (in integer).

Hint:

The tangential force in gears can be found by dividing the transmitted power by the pitch line velocity.

Answer 1

- The power transmitted by the gears is given by: \[ P = F_t \cdot v \] Where \(P\) is the power, \(F_t\) is the tangential force, and \(v\) is the pitch line velocity. Rearranging the equation to solve for the tangential force: \[ F_t = \frac{P}{v} = \frac{20 \times 10^3}{10} = 2000 \, \text{N} \] Thus, the tangential force between the driver and the driven gear is 2000 N.