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Sunny_sXe [5.5K]
3 years ago
14

A wave is traveling at a speed of 15 m/s and it's wavelength is 5 m. Calculate the waves frequency

Physics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

The frequency of this wave is 3\; \rm Hz.

Explanation:

The frequency f of a wave is the number of wavelengths that this wave covers in unit time (typically a second.)

The wave in this question travels at v = 15\; \rm m \cdot s^{-1}. In other words, this wave covers 15\; \rm m in unit time (a second.) How many wavelengths \lambda would that 15\; \rm m\; correspond to?

The question states that the wavelength of this wave is \lambda = 5\; \rm m. Therefore, there would be 15 / 5 = 3 wavelengths in the 15\; \rm m span that this wave covered in the unit time of one second (1\; \rm s.) Hence, the frequency of this wave would be 3\; \rm s^{-1} (three per second,) which is equivalent to 3\; \rm Hz (three Hertzs.)

In general, the frequency f of a wave with speed v and wavelength \lambda would be:

\displaystyle f = \frac{v}{\lambda}.

For the wave in this question:

\begin{aligned}f &= \frac{v}{\lambda} \\ &= \frac{15\; \rm m \cdot s^{-1}}{3\; \rm s} = 3\; \rm s^{-1} = 3\; \rm Hz\end{aligned}.

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