waves moving on a lake have a speed of 2.0 m/s and a distant of 1.5m between adjacent crest. what is the frequency of the waves? find the period of the wave motion?
To find the frequency of the waves, you need to know the wave speed and the distance between adjacent crests.
The frequency (f) of a wave is calculated using the formula:
f = wave speed / wavelength
Here, the wave speed is given as 2.0 m/s and the distance between adjacent crests is 1.5 m.
So, the frequency of the waves is:
f = 2.0 m/s / 1.5 m
f ≈ 1.33 Hz (rounded to two decimal places)
To find the period of the wave motion, you can use the reciprocal of the frequency.
The period (T) of a wave is the time it takes for one complete wave cycle to pass a given point. It is calculated using the formula:
T = 1 / f
Using the frequency calculated earlier, we can find the period as:
T = 1 / 1.33 Hz
T ≈ 0.75 s (rounded to two decimal places)
Therefore, the frequency of the waves is approximately 1.33 Hz and the period of the wave motion is approximately 0.75 seconds.
To find the frequency of the waves, we can use the relationship:
frequency = speed / wavelength
Given that the speed of the waves is 2.0 m/s and the distance between adjacent crests (wavelength) is 1.5 m, we can substitute these values into the formula:
frequency = 2.0 m/s / 1.5 m
Calculating this, we find:
frequency = 1.33 Hz (rounded to two decimal places)
The frequency of the waves is approximately 1.33 Hz.
To find the period of the wave motion, we can use the formula:
period = 1 / frequency
Substituting the frequency value we just found:
period = 1 / 1.33 Hz
Calculating this, we find:
period = 0.751 seconds (rounded to three decimal places)
The period of the wave motion is approximately 0.751 seconds.