Question

A sound wave has a wavelength of 6.1 metres. Calculate the frequency in Hz if the speed of sound is 310 metres per second. Express your result with a single digit of precision Your Answer: Answer Question 2 (1 point) A wave is described by the formula x(t) = (0.23 m) cos( 2,590t- 294x) Assuming the wave number, k, and angular frequency, w, are in Si units, calculate the speed of the wave in m/s with a single digit precision. Hint: remember that v = fx Your

Answer 1

To calculate the frequency of a sound wave with a known speed and wavelength, use the formula f = v / λ. Given a speed of 310 m/s and a wavelength of 6.1 m, the frequency is approximately 51 Hz.

Step-by-step explanation:

The relationship between the speed of a wave (v), its frequency (f), and its wavelength (λ) is given by the formula v = f × λ. To calculate the frequency when the wavelength and speed are known, rearrange the formula to f = v / λ.

In the given scenario, the speed of sound is 310 meters per second (m/s), and the wavelength is 6.1 meters (m). Using the formula, the frequency is calculated as follows: f = 310 m/s ÷ 6.1 m, resulting in approximately 50.8 Hz when expressed with a single digit of precision. Hence, the frequency is 51 Hz.