The distance between two successive crests of a certain transverse wave is 1.10 m. 10 crests pass a given point along the direction of travel every 11.1 s.
Calculate the wave speed. Answer in units of m/s.
wavespeed=distance/time=10*1.1/11.1 m/s
To calculate the wave speed, we need to use the formula:
Wave Speed (v) = Frequency (f) * Wavelength (λ)
In this case, the wavelength is given as the distance between two successive crests, which is 1.10 m. The frequency can be found by dividing the number of crests passing a given point by the time it takes for them to pass.
Given that 10 crests pass in 11.1 seconds, we can calculate the frequency as follows:
Frequency (f) = Number of crests / Time taken
= 10 / 11.1
Now, let's substitute the values into the formula:
Wave Speed (v) = Frequency (f) * Wavelength (λ)
= (10 / 11.1) * 1.10
Calculating this expression gives us:
Wave Speed (v) = 1.10 m * 10 / 11.1
Now, divide 1.10 by 11.1 and multiply the result by 10:
Wave Speed (v) = 0.99 m/s
Therefore, the wave speed is approximately 0.99 m/s.