Waves
Wave Speed on String
Speed of transverse wave on stretched string.
Variables
vm/s
Wave speed
Speed on string
Allowed values: greater than 0
TN
Tension
String tension
In SI units: kg·m/s²
Allowed values: greater than 0
μkg/m
Linear density
Mass per length
Allowed values: greater than 0
Derivation
From wave equation analysis.
Your notes
0/5000
Check value
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- T = 2 N (Tension)
- μ = 3 kg/m (Linear density)
Result: v = 0.81649658 m/s
Other waves formulas with the same quantities
- Standing Wave on String (Superposition) shares Tension, Linear density
- Doppler Effect (General) (Doppler Effect) shares Wave speed
- Doppler Effect (Approaching) (Doppler Effect) shares Wave speed
- Doppler Effect (Receding) (Doppler Effect) shares Wave speed
Where this formula is listed
- Waves formulas, under Wave Properties, alongside Period and Frequency, Angular Frequency, Wave Number, Wave Intensity and Intensity-Amplitude Relation.
- In the waves list it comes after Inverse Square Law (Intensity) and before Reflection Coefficient.
- Waves formula sheet, one of 37 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Wave Speed on String formula?
Wave Speed on String is written v = √(T/μ). Speed of transverse wave on stretched string. It belongs to Waves, under Wave Properties.
What are the units in v = √(T/μ)?
In SI units, v is wave speed, measured in m/s; T is tension, measured in kg·m/s²; μ is linear density, measured in kg/m.
How is the Wave Speed on String formula derived?
From wave equation analysis. The result is v = √(T/μ).