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.