A wave has a wavelength of 3mm and a frequency of 4hz. at what speed does the wave travel? Explain how you know that your answer is correct.please dont give me the answer in the form of a formula....

A wave has a wavelength of 3mm and a frequency of 4hz. at what speed does the wave travel? Explain how you know that your answer is correct.

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The wavelength of a wave is the distance between two adjacent points where the shape of the wave is found to repeat. The wavelength is expressed in the unit meter. The frequency of the wave is the number of wavelengths that pass a point in a given interval of time, usually a second. Frequency is expressed in the unit Hertz which is equivalent to per second.

As the speed of the wave is the time taken by it to travel over a distance, it is given as wavelength*frequency. The product of wavelength and frequency has units of meters per second which is the same as the unit of speed.

The wave given in the problem has a wavelength of 3 mm and a frequency of 4 hz.

The speed of the wave is 3*4 = 12 mm/s = 1.2*10^-2 m/s

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll recall the formula that gives the speed of  the wave:

Velocity of the wave = distance traveled by the wave/time taken

The distance traveled is the wavelength.

s = L/T

But 1/T = f (frequency)

s = L*f where n is the length of the wave and f is the frequency.

s = 3*4 = 12 mm*Hz

The wave travles at the speed s = 12 mm*Hz.