Belt Frequency Calculator

Formula

To calculate the Belt Frequency (BF):

\[ BF = \pi \times D \times N / L \]

Where:

\(BF\) is the Belt Frequency in Hz
\(D\) is the Diameter of the Sheave in inches
\(N\) is the Rotational Speed of the Sheave in RPM
\(L\) is the Length of the Belt in inches

What is Belt Frequency?

A belt frequency is a rate at which a belt completes a full cycle of its length. In other words, it’s a measure of the time it takes to travel the full length of the belt.

Example Calculation 1

Let's assume the following values:

Diameter of the Sheave (\(D\)) = 10 inches
Rotational Speed of the Sheave (\(N\)) = 1500 RPM
Length of the Belt (\(L\)) = 100 inches

Using the formula:

\[ BF = \pi \times 10 \times 1500 / 100 = 471.24 \text{ Hz} \]

The Belt Frequency is approximately 471.24 Hz.

Example Calculation 2

Let's assume the following values:

Diameter of the Sheave (\(D\)) = 8 inches
Rotational Speed of the Sheave (\(N\)) = 1200 RPM
Length of the Belt (\(L\)) = 80 inches

Using the formula:

\[ BF = \pi \times 8 \times 1200 / 80 = 376.99 \text{ Hz} \]

The Belt Frequency is approximately 376.99 Hz.