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Cable (String) Fundamental Frequency Calculator

This calculator provides the fundamental frequency of a cable (string) under tension.

 Directions: Enter values into all cells in the Assumptions section and press Calculate. ASSUMPTIONS T (cable tension) N m (cable mass per unit length)Value for 0.018-in (0.4572-mm) diameter displacement cable is 0.00074408 kg/m. Value for 0.027-in (0.6858-mm) diameter displacement cable is 0.00193461 kg/m. kg / m L (cable length exposed (outside of the transducer)) m RESULT f1 (fundamental frequency) Imperial Units Version 14.34 Hz

##### What is the Purpose of This Calculator?

Draw wire transducers (also referred to as wire sensors and cable displacement transducers) are subject to the same laws of physics as musical instruments. As such, the cables on these sensors have fundamental frequencies that may cause the cable to resonate. While such resonance is very rare and difficult to achieve, it is possible. The purpose of the above calculator is to provide a tool to estimate the fundamental frequency of SpaceAge Control position transducer cables.

The fundamental frequency of a position transducer cable can change based on the amount of cable exposed to the excitation source and the cable tension which varies according to the displacement of the cable.

The fundamental frequency of most SpaceAge Control position transducer cables is rather high due to 3 factors:

• small mass of the cable per unit length
• relatively short length of cable exposed to the excitation source
• relatively high cable tension

Fundamental frequency and the harmonics associated with that frequency.

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