1. Speed of a Transverse Wave
Prof. Marlon Flores Sacedon
Department of Mathematics and Physics
College of Arts and Sciences
Visayas State University, Visca
Baybay City, Leyte, Phiippines

2. Speed of a Transverse Wave
Speed of transverse waves 𝒗 on a string are determined the tension 𝑭 in the string and its mass per unit length 𝝁 (also called linear mass density).

3. Speed of a Transverse Wave
Increasing the tension also increases the restoring forces that tend to straighten the string when it is disturbed, thus increasing the wave speed.

4. Speed of a Transverse Wave
Increasing the mass per unit length makes the motion more sluggish, and so decreases the wave speed.

5. Speed of a Transverse Wave
The exact relationship among wave speed 𝑣, tension 𝐹, and mass per unit length 𝜇.
𝒗= 𝑭 𝝁

6. Speed of a Transverse Wave
Derivation
Similar to the right triangle

7. Speed of a Transverse Wave
Derivation

8. Problems There are (80.0 m/44.3 m) = 1.81 wavelengths (that is, cycles
of the wave) in the rope.

9. PROBLEMS SET

10. PROBLEMS SET

11. PROBLEMS SET

12. PROBLEMS SET

13. Answers to odd numbers

14. eNd