Question

A transverse wave has a wavelength of 15m and a frequency of 10hz, what is the wave's speed?

Answer 1

So, the wave's velocity is 150 m/s.

Introduction

Hi ! I will help you to explain the relationship between velocity of a waves with their frequency and wavelengths. In mechanical waves (either transverse or longitudinal) the greater value of wavelength or frequency of a waves, indicating that the wave will transmitted faster. This relationship can also be expressed in this equation:

$\boxed{\sf{\bold{v = \lambda \times f}}}$

With the following condition :

• v = velocity of mechanical waves (m/s)
• $\sf{\lambda}$ = wavelength (m)
• f = frequency of the waves (Hz)

Problem Solving

We know that :

• $\sf{\lambda}$ = wavelength = 15 m
• f = frequency of the waves = 10 Hz

What was asked :

• v = velocity of mechanical waves = ... m/s

Step by step :

$\sf{v = \lambda \times f}$

$\sf{v = 15 \times 10}$

$\boxed{\sf{v = 150 \: m/s}}$

Conclusion :

So, the wave's velocity is 150 m/s.