Question

The relative velocity between two layers of water is 12 cm/s. If the perpendicular distance between the layers is 1 mm then velocity gradient will be​

Answer 1

Velocity gradient = $\bf{\frac{dv}{dx}}$

dv = Relative velocity

dx = Perpendicular Distance

Conversion of Distance

1mm = 0.1 cm.

So,

Perpendicular Distance = 0.1 cm

Velocity gradient = $\sf{\frac{12}{0.1}}$

$\boxed{\bf{Velocity\: gradient = 120}}$

Answer 2

Given:

• The relative velocity between two layers 12 cm/s
• The perpendicular distance = 1 mm = 0.1 cm

To Find:

• The velocity gradient.

Solution:

The formula to find the velocity gradient is given by,

Velocity gradient = $\frac{dv}{dx}$  → { equation 1}

Where "dv" is the relative velocity between the two layers of water, and "dx" is the perpendicular distance between the two layers of water.

Substitute the values in equation 1. We get,

Velocity gradient = $\frac{12}{0.1}$  { Dividing the terms}

Velocity gradient = 120 $cm^{-1}$  

∴ The velocity gradient = 120 $cm^{-1}$