If a wave has a period of .02 seconds and a speed of 4 m/s, what is its wavelength?
.08 m
To find the wavelength of a wave, you need to use the equation:
wavelength (λ) = speed (v) / frequency (f)
In this case, the period of the wave is given, which is the reciprocal of the frequency (T = 1/f). So, the frequency can be calculated as:
frequency (f) = 1 / period (T)
Given that the period is 0.02 seconds, the frequency can be calculated as:
f = 1 / 0.02 = 50 Hz
Now, we can plug the values of the speed and frequency into the equation to find the wavelength:
wavelength (λ) = speed (v) / frequency (f) = 4 m/s / 50 Hz = 0.08 m
Therefore, the wavelength of the wave is 0.08 m.