Question

A 7.35 kW lathe can move an iron block at a constant speed by applying a force of 5.56 kN. Find the speed of the block.

Answer 1

Given data

*The given power of the lathe is P = 7.35 kW = 7.35 × 10^3 W

*The given applied force is F = 5.56 kN = 5.56 × 10^3 N

The speed of the block is calculated by the power relation as

$P=Fv$

Substitute the known values in the above expression as

$\begin{gathered} 7.35\times10^3=5.56\times10^3\times v \\ v=1.32\text{ m/s} \end{gathered}$

Hence, the speed of the block is v = 1.32 m/s