A wave travels a distance of 20cm in 3seconds.if the distance two successive crest is 4cm. Calculate the frequency
The speed of the wave can be found by dividing the distance traveled (20cm) by the time taken (3s):
Speed = distance/time = 20cm/3s = 6.67 cm/s
The frequency of the wave can be found using the formula:
Frequency = Speed/Wavelength
where wavelength is the distance between two successive crests (4cm in this case).
Frequency = 6.67 cm/s รท 4cm = 1.67 Hz
Therefore, the frequency of the wave is 1.67 Hz.
To calculate the frequency of the wave, we need to use the formula:
Frequency = 1 / Time
In this case, the time is given as 3 seconds.
So, Frequency = 1 / 3 = 1/3 Hz.
However, we can also calculate the frequency using the formula:
Frequency = Speed / Wavelength
The speed of the wave is not given in the question. However, we can calculate it using the given information.
The distance traveled by the wave in 3 seconds is given as 20 cm. Since the distance between two successive crests is given as 4 cm, we can determine the number of crests in the distance traveled.
Number of crests = Distance / Distance per Crest
Number of crests = 20 cm / 4 cm = 5 crests
Since the wave travels a distance of 20 cm in 3 seconds, we can determine the speed of the wave using the formula:
Speed = Distance / Time
Speed = 20 cm / 3 seconds = 6.67 cm/s
Now, we can calculate the frequency using the speed and wavelength:
Frequency = Speed / Wavelength
Frequency = 6.67 cm/s / 4 cm = 1.67 Hz.
So, the frequency of the wave is approximately 1.67 Hz.