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A wave with a frequency of 17 Hz has a wavelength of 5 meters. At what speed will this wave travel?

2 Answers

3 votes

Answer:

85

Step-by-step explanation:

soln

given that;

frequency=17Hz

wavelength=5m

speed?

formula for wavelength is;

wavelength= speed/frequency

then ; making v the subject formula

we have that v=wavelength*frequency

v=17*5=>85ms

User Wand
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Final answer:

The wave with a frequency of 17 Hz and a wavelength of 5 meters will travel at a speed of 85 meters per second, as determined by the product of frequency and wavelength.

Step-by-step explanation:

To calculate the speed at which a wave travels, we use the basic wave speed formula, which is wave speed = frequency × wavelength. In this case, the wave has a frequency (f) of 17 Hz and a wavelength (λ) of 5 meters.

By multiplying the frequency by the wavelength, we get the wave speed (v):

v = f × λ

v = 17 Hz × 5 m

v = 85 m/s

Therefore, the wave will travel at a speed of 85 meters per second.

As an example related to wave speed, the maximum wavelength (λmax) given by a minimum frequency of 20 Hz and a speed of 348.7 m/s is 17.43 meters. This demonstrates how wavelength and frequency are inversely related for a given speed.

User Johan Petersson
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