The engine of a vehicle develops 40 kW at a speed of 960 r/min. Calculate the torque developed.
To calculate the torque developed by the engine, we need to use the formula:
Torque (Nm) = Power (W) / angular velocity (rad/s)
First, we convert the speed of the engine from rpm to rad/s:
Angular velocity = 2π x Speed in rpm / 60
Angular velocity = 2π x 960 / 60
Angular velocity = 100.53 rad/s
Now we can calculate the torque:
Torque = 40,000 W / 100.53 rad/s
Torque ≈ 398.51 Nm
Therefore, the torque developed by the engine is approximately 398.51 Nm.