Question

Velocity gradient is defined as "change in velocity per unit distance". Then its unit in F.P.S. system is ____ .

• A. $foot{s}^{-1}$
• B. $s^{-1}$
• C. $foots$
• D. $pounds$

Answer 1

The correct option is B $s^{-1}$

The velocity gradient is defined as the change in velocity per unit distance.

$Velocitygradient=\frac{\Delta v}{\Delta x}$

Using the respective dimensions of $v$ and $x$.

$Velocitygradient=\frac{\left[L{T}^{-1}\right]}{\left[L\right]}$

So, its unit will be $se{c}^{-1}$.