Examples
Examples
Try the starting example
- Original frequency (Hz)
- 329.63
- New frequency (Hz)
- 293.66
- Original vibrating length (m)
- 0.648
- New vibrating length (m)
- 0.648
- Known original tension (N)
- 70
- Known original linear density (kg/m)
- 0.00039
- Required equivalent-tension linear density (kg/m)
- 0.000483
- Equivalent target tension (N)
- 70
- Tension implied by entered original density/frequency (N)
- 71.175098
Try another scenario
- Original frequency (Hz)
- 362.593
- New frequency (Hz)
- 293.66
- Original vibrating length (m)
- 0.648
- New vibrating length (m)
- 0.648
- Known original tension (N)
- 70
- Known original linear density (kg/m)
- 0.00039
- Required equivalent-tension linear density (kg/m)
- 0.000483
- Equivalent target tension (N)
- 70
- Tension implied by entered original density/frequency (N)
- 86.121868
Calculation method
Calculation method
Required equivalent-tension linear density (kg/m)
String T=mu(2Lf)²; for the explicitly supplied target original tension, muNew=Tknown/(2 Lnew fnew)². Report consistency check for original measurement.
Equivalent target tension (N)
String T=mu(2Lf)²; for the explicitly supplied target original tension, muNew=Tknown/(2 Lnew fnew)². Report consistency check for original measurement.
Tension implied by entered original density/frequency (N)
String T=mu(2Lf)²; for the explicitly supplied target original tension, muNew=Tknown/(2 Lnew fnew)². Report consistency check for original measurement.
Symbols and units
- a
- Original frequency (Hz)
- b
- New frequency (Hz)
- c
- Original vibrating length (m)
- d
- New vibrating length (m)
- e
- Known original tension (N)
- f
- Known original linear density (kg/m)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Ideal flexible string using measured linear density and tension. Wound-string outer diameter is not inferred. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Ideal flexible string using measured linear density and tension. Wound-string outer diameter is not inferred.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.