Belts & Pulleys

Belt Natural Frequency Calculator

Solve the vibrating-string relationship for frequency to estimate the natural frequency associated with a given belt span tension.

Inputs

Formula

Natural frequency from tension

f = sqrt(T / (4 * mu * L^2))

Worked example

Using the default values shown in the calculator, the same formula gives the following result. This is a quick sanity check for the calculation, not a design recommendation.

Inputs

Belt span tension
625 N
Belt mass per unit length
250 g/m
Free span length
500 mm

Result

Estimated natural frequency
50 Hz

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Frequently asked questions

Can this replace a manufacturer's tension chart?

No. It is a physics-based estimate. Product-specific belt stiffness, mass constants, and installation procedures should take priority.

What span length should be measured?

Use the free straight span that is being excited and measured, not the total belt circumference.