# How does tension affect the speed of a wave in a rope?

## How does tension affect the speed of a wave in a rope?

Increasing the tension on a string increases the speed of a wave, which increases the frequency (for a given length). (Smaller lengths of string result in shorter wavelength and thus higher frequency.)

## How is a standing wave set up on a string?

Standing waves are produced on a string when equal waves travel in opposite directions. When the proper conditions are met, the interference between the traveling waves causes the string to move up and down in segments, as illustrated below.

Is a wave on a string a mechanical wave?

Mechanical waves require matter for their transmission. Sound waves, ocean waves, and waves on a guitar string are examples.

Is the string wave transverse wave or longitudinal wave?

String waves are an example of transverse waves because the string moves up and down at right angles to the horizontal motion of the wave. (There also longitudinal waves, e.g. sound, where the medium and the wave move along the same direction but we will focus on the transverse case.)

### What’s the wavelength of your wave?

The wavelength of a wave is the distance between any two corresponding points on adjacent waves. It is easiest to visualize the wavelength of a wave as the distance from one wave crest to the next. In an equation, wavelength is represented by the Greek letter lambda (λ).

### What two properties of the string affect the speed of a wave on a string?

The speed of a wave on a string depends on the linear density of the string and the tension in the string. The linear density is mass per unit length of the string.

What created the wave on the rope?

transverse waves
You can produce transverse waves on a rope by moving one end of the rope up and down. You create a transverse wave by inducing in the particles that make up a respective medium a motion perpendicular to the direction of propagation. In your case, the medium will be the rope.

Is a wave on a string a standing wave?

A Stretched string has many modes of vibration, i.e. standing waves. It may vibrate as a single segment; its length is then equal to one half of the wavelength of the vibrations produced.

#### How do you set up a standing wave?

Standing waves are formed by the superposition of two travelling waves of the same frequency (with the same polarisation and the same amplitude) travelling in opposite directions. This is usually achieved by using a travelling wave and its reflection, which will ensure that the frequency is exactly the same.