Plain-English Meaning
The speed of transverse waves on a string depends on the string's tension and its linear mass density.
If a waves question feels messy, sketch the geometry or phase relationship first, then return to the algebra.
Deeper Explanation
The speed of transverse waves on a string depends on the string's tension and its linear mass density.
Worked Example
Problem: A 0.8 m string has μ = 0.005 kg/m and T = 80 N. Find wave speed and fundamental frequency.
- v = √(T/μ) = √(80/0.005) = √16000 ≈ 126.5 m/s
- f₁ = v/(2L) = 126.5/(2×0.8) = 79.1 Hz
Result: v ≈ 126.5 m/s, f₁ ≈ 79.1 Hz
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At A Glance
Category: Waves & Optics
Levels covered:
Best use: Start with the formula meaning, then move to the worked example and quiz so the equation turns into a tool instead of a memorised line.