Question

A driving pulley rotates at 3r/s and has a diameter of 300cm. The pulley exerts a force of 2kN at a point on its periphery. What will be the power in kw

Answer 1

To find the power in kW, we can use the formula:

Power = Force x Velocity

First, we need to find the velocity of the point on the periphery of the pulley. We know the pulley rotates at 3r/s, so the linear velocity is given by:

Velocity = 3r/s x diameter = 3 x 3.14 x 300cm/s = 2826 cm/s

Now, we convert the velocity to m/s by dividing by 100:

Velocity = 2826 / 100 = 28.26 m/s

Now we can calculate the power:

Power = Force x Velocity
Power = 2kN x 28.26 m/s
Power = 56.52 kW

Therefore, the power exerted by the driving pulley is 56.52 kW.