Belts & Pulleys

Belt Frequency Tension Calculator

Use the vibrating-string relationship with total belt mass per unit length to estimate static span tension from a measured natural frequency.

Inputs

Formula

Transverse vibration tension estimate

T = 4 * mu * L^2 * f^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 mass per unit length
250 g/m
Free span length
500 mm
Measured natural frequency
50 Hz

Result

Estimated span tension
625 N

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Frequently asked questions

What mass value should I use?

Use the total mass per unit length of the belt span. Manufacturer sonic-tension methods may instead provide product-specific mass constants and width factors.

Why can a real belt differ from the string equation?

Belts have bending stiffness and construction effects, so manufacturer calibration or product-specific constants can be important for precise tensioning.