sixty complete waves passes a particular point in 4 seconds if the distance between 3 successive troughs of the wave is 15m calculate the speed of the wave
Pls is there an answer to this question?
To calculate the speed of the wave, we need to determine the distance traveled by the wave in a given time. In this case, we know that sixty complete waves pass a particular point in 4 seconds.
First, we need to calculate the distance traveled by a single wave. Given that the distance between three successive troughs is 15m, the distance between two consecutive troughs would be 15m/3 = 5m.
Now, let's calculate the distance traveled by sixty complete waves:
Distance = Number of Waves × Distance per Wave
Distance = 60 waves × 5m
Distance = 300m
Since the distance traveled is 300m and the time taken is 4 seconds, we can calculate the speed of the wave using the formula:
Speed = Distance / Time
Speed = 300m / 4s
Speed ≈ 75 m/s
Therefore, the speed of the wave is approximately 75 meters per second.
To calculate the speed of the wave, we need to use the formula:
Speed = Distance / Time
To find the distance covered by the wave, we need to find the distance between two successive troughs. Given that the distance between three successive troughs is 15m, we can divide this value by 3 to get the distance between two successive troughs.
Distance between two successive troughs = 15m / 3 = 5m
Now, we know that 60 complete waves pass a particular point in 4 seconds. We can use this information to find the time taken for one complete wave to pass the same point.
Time for one complete wave = Total time / Total waves
Time for one complete wave = 4 seconds / 60 waves
To find the speed of the wave, we can divide the distance between two troughs by the time taken for one complete wave to pass:
Speed = Distance between two troughs / Time for one complete wave
Speed = 5m / (4 seconds / 60 waves)
Simplifying further:
Speed = 5m / (4/60)
Speed = 5m / (1/15)
Speed = 5m × 15
Speed = 75 m/s
Therefore, the speed of the wave is 75 m/s.