The wavelength,w.of a wave of a certain frequency varies directly as the velocity. v, of the wave. W = 60 ft when v= 15 ft/s. Find w when v = 3 ft/s.

Question

asked Mar 16, 2023 86.4k views

1 Answer

Juan Eizmendi · Answer 1 · 2023-03-21T12:50:46+0000

EXPLANATION

First we need to find the direct variation function:

$w=k\cdot\\u$

Then we need to use the given information λ=60 v=15 and write the equation:

$60=k\cdot15$

Dividing both sides by 15:

Simplifying:

So, the function is:

$w=4\cdot\\u$

Now, we use this function to find w when v=3:

$w=4\cdot3=12ft$

The wavelength is 12ft