Transverse Wave Examples in Physics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Transverse Wave.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Physics.

Concept Recap

A wave where the medium oscillates perpendicular to the direction of wave travel.

Shake a rope side-to-side: the wave travels along the rope, but the rope moves up and down.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: The vibration direction is perpendicular to the travel direction.

Common stuck point: Sound is NOT a transverse wave — it is longitudinal, so it cannot be polarized.

Worked Examples

Example 1

easy
A transverse wave on a rope has a wavelength of 1.5 \text{ m} and a frequency of 4 \text{ Hz}. What is the wave speed? In which direction do the rope particles move relative to the wave's direction?

Solution

  1. 1
    Wave speed: v = f\lambda = 4 \times 1.5 = 6 \text{ m/s}.
  2. 2
    In a transverse wave, particles oscillate perpendicular to the wave's direction of travel.
  3. 3
    If the wave moves horizontally along the rope, the rope particles move up and down (vertically).

Answer

v = 6 \text{ m/s}; \text{ particles move perpendicular to wave direction}
In a transverse wave, the oscillation of the medium is perpendicular to the direction of wave propagation. Examples include waves on strings, water surface waves, and electromagnetic waves.

Example 2

medium
A transverse wave on a string has a speed of 20 \text{ m/s}. The string has a tension of 80 \text{ N}. What is the linear mass density of the string?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

medium
Explain why transverse waves can travel through solids but not through fluids (liquids and gases). Give an example of each.

Example 2

hard
A guitar string (\mu = 0.003 \text{ kg/m}, length 0.65 \text{ m}) is tuned to play a note at 330 \text{ Hz} (fundamental mode). What tension must be applied to the string?
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Related Concepts

WavesLongitudinal Wave

Background Knowledge

These ideas may be useful before you work through the harder examples.

waves