The source of a wave generates 25 crests and 25 troughs in 5.0s, and the distance between two successive crests in that wave is 1.5 m . What is the speed of the waves
λ=1.5 m.
s=25•λ/2=25•1.5/2=18.75 m
v =s/t =18.75 /5 =3.75 m/s
Thank you
To find the speed of the waves, we can use the formula:
Speed = Distance / Time
In this case, the distance between two successive crests is given as 1.5 m, and the time taken for 25 crests and 25 troughs is given as 5.0 seconds.
First, let's calculate the total distance covered by 25 crests and 25 troughs:
Total distance = 25 crests * 1.5 m/crest + 25 troughs * 1.5 m/trough
= (25 + 25) * 1.5 m
= 50 * 1.5 m
= 75 m
Now, let's substitute the values into the formula to calculate the speed:
Speed = Distance / Time
= 75 m / 5.0 s
= 15 m/s
Therefore, the speed of the waves is 15 m/s.
To find the speed of the wave, we will use the formula:
Speed = Frequency x Wavelength
First, let's determine the frequency of the wave.
Frequency = Number of Waves / Time
Given that the source generates 25 crests (and troughs) in 5.0 seconds, we have:
Number of Waves = 25 crests + 25 troughs = 50 waves
Time = 5.0 seconds
Therefore, the frequency of the wave is:
Frequency = 50 waves / 5.0 seconds
Frequency = 10 Hz
Now, let's determine the wavelength of the wave.
Wavelength is the distance between two successive crests (or troughs) of the wave. We are given that the distance between two successive crests is 1.5 meters.
Therefore, the wavelength is:
Wavelength = 1.5 meters
Finally, we can calculate the speed of the wave:
Speed = Frequency x Wavelength
Speed = 10 Hz x 1.5 m
Speed = 15 m/s
Therefore, the speed of the wave is 15 m/s.