A plane progressive wave is represented by the equation ​Y=0.5Sin{0.5πt-20πx/36} calculate the wavelength?

All_for_one

2 years ago

To calculate the wavelength of a plane progressive wave, you can use the following formula:

Wavelength (λ) = 2π / k

Where:
- λ is the wavelength.
- k is the wave number, which is related to the angular wave number (k) by k = 2π / λ.

In your given wave equation: Y = 0.5 * sin(0.5πt - 20πx/36)

You can see that the wave number (k) is 20π/36. So, to find the wavelength (λ):

λ = 2π / (20π/36)

λ = 2π * (36/20)

λ = 3.6π

So, the wavelength of the wave is 3.6π units.