The image above represents shaft diameter.

To compute for shaft diameter, two essential parameter are needed and these parameters are **Shaft Power (P)** and **75% of Critical Speed (N)**.

The formula for calculating shaft diameter:

D = ³√(^{1.33 x 106 x P}/_{N})

Where:

D = Shaft Diameter

P = Shaft Power

N = 75% of Critical Speed

Let’s solve an example;

Find the shaft diameter when the shaft power is 28 and the 75% of critical speed is 7.

This implies that;

P = Shaft Power = 28

N = 75% of Critical Speed = 7

D = ³√(^{1.33 x 106 x P}/_{N})

D = ³√(^{1.33 x 106 x 28}/_{7})

D = ³√(^{37240000}/_{7})

D = ³√(5320000)

D = 174.57

Therefore, the **shaft diameter **is **174.57 m.**

**Calculating the Shaft Power when the Shaft Diameter and the 75% of Critical Speed is Given.**

P = ^{D}^{3} x N / _{1.33 x 106}

Where;

P = Shaft Power

D = Shaft Diameter

N = 75% of Critical Speed

Let’s solve an example;

Find the shaft power when the shaft diameter is 3 and the 75% of critical speed is 10.

This implies that;

D = Shaft Diameter = 3

N = 75% of Critical Speed = 10

P = ^{D}^{3} x N / _{1.33 x 106}

P = ^{3}^{3} x 10 / _{1.33 x 106}

P = ^{9 x 10} / _{1.33 x 106}

P = ^{90} / _{140.98}

P = 0.64

Therefore, the **shaft power **is **0.64 m/s.**

Continue reading How to Calculate and Solve for Shaft Diameter | Ball Mill Sizing