The image above represents maximum velocity in circular motion.

To compute for the maximum velocity, three essential parameters are needed and these parameters are** coefficient of friction (μ), radius (r) and acceleration due to gravity (g).**

The formula for calculating maximum velocity:

V_{max} = √(μgr)

Where;

V_{max} = maximum velocity

μ = coefficient of friction

r = radius

g = acceleration due to gravity

Let’s solve an example;

Find the maximum velocity when the coefficient of friction is 14 with a radius of 7 and acceleration due to gravity of 9.8.

This implies that;

μ = coefficient of friction = 14

r = radius = 7

g = acceleration due to gravity = 9.8

V_{max} = √(μgr)

V_{max} = √(14 x 7 x 9.8)

V_{max} = √(960.40)

V_{max} = 30.99

Therefore, the **maximum velocity** is **30.99 m/s.**

**Calculating the Coefficient of Friction when the Maximum Velocity, Radius and Acceleration due to Gravity is Given.**

μ = ^{Vmax}^{2} / _{gr}

Where;

μ = coefficient of friction

V_{max} = maximum velocity

r = radius

g = acceleration due to gravity

Let’s solve an example;

Find the coefficient of friction with a maximum velocity of 120, radius of 15 and acceleration due to gravity is 9.8?

This implies that;

V_{max} = maximum velocity = 120

r = radius = 15

g = acceleration due to gravity = 9.8

μ = ^{Vmax}^{2} / _{gr}

μ = ^{120}^{2} / _{15 x 9.8}

μ = ^{14400} / _{147}

μ = 97.96

Therefore, the **coefficient of friction** is **97.96.**