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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.
Fundamental frequency and the harmonics associated with that frequency.

Related Resources

Other calculators:

No Warranties: This calculator and information are provided "as is" without any warranty, condition, or representation of any kind, either express or implied, including but not limited to, any warranty respecting non-infringement, and the implied warranties of conditions of merchantability and fitness for a particular purpose. In no event shall SpaceAge Control, Inc. be liable for any direct, indirect, special, incidental, consequential or other damages howsoever caused whether arising in contract, tort, or otherwise, arising out of or in connection with the use or performance of the information contained on this Web page.

Page last modified on 2006-11-25 15:17
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SpaceAge Control, Inc.
An ISO9001:2000/AS9100B-Compliant Company
38850 20th Street East • Palmdale, CA 93550 USA
661-273-3000 • Fax: 661-273-4240 • email@spaceagecontrol.com
Business hours: Mon-Thu, 06:30 to 17:00 (Pacific time)
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All specifications subject to change without notice.
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After Hours Help: 661-273-3000 Ext. 100 (for hours outside of Mon-Thu, 06:30 to 17:00 (Pacific time))

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