Pulse Speed

Pulse Speed

Definition: Pulse speed

Pulse speed is the distance a pulse travels per unit time.

Quantity: Pulse speed (\(v\)) Unit name: metre per second Unit symbol: \(\text{m·s$^{-1}$}\)

Speed is defined as the distance travelled per unit time (this will be covered in more detail in Motion in One Dimension). If the pulse travels a distance \(D\) in a time \(t\), then the pulse speed \(v\) is:

\[v = \frac{D}{t}\]

Example:

Question

A pulse covers a distance of \(\text{2}\) \(\text{m}\) in \(\text{4}\) \(\text{s}\) on a heavy rope. Calculate the pulse speed.

Step 1: Analyse the question

We are given:

  • the distance travelled by the pulse: \(D = \text{2}\text{ m}\)

  • the time taken to travel \(\text{2}\) \(\text{m}\): \(t = \text{4}\text{ s}\)

We are required to calculate the speed of the pulse.

Step 2: Apply the relevant principles

We can use:

\[v = \frac{D}{t}\]

to calculate the speed of the pulse.

Step 3: Do the calculation

\begin{align*} v & = \frac{D}{t} \\ & = \frac{\text{2}\text{ m}}{\text{4}\text{ s}} \\ & = \text{0.5}\text{ m·s$^{-1}$} \end{align*}

Step 4: Quote the final result

The pulse speed is \(\text{0.5}\) \(\text{m·s$^{-1}$}\).

Tip:

The pulse speed depends on the properties of the medium and not on the amplitude or pulse length of the pulse.

This lesson is part of:

Mechanical Waves and Sound

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