Question

The velocity v of a soundwave varies jointly as the product of the frequency n and the wavelength ℓ. If the velocity of the wave is 12 ft/s when the frequency is 3 and the wavelength is 2.4, find the wavelength when the velocity of the soundwave is 18 ft/s and the frequency is 6. Round the solution to the nearest tenth.

Answer 1

this is the same type of problem,
velocity v varies jointly product of frequency n and the wavelength ℓ.

that means v = k*n*l
use the numbers to find k. after you find k, solve the 2nd part of the problem.

can you find k ?

Answer 2

3.6?

Answer 3

for k ?

Answer 4

can you show your work ?

Answer 5

For k i got .83

Answer 6

12 = k(3) (2.4)
12 = k(7.2)
k = 1.67
I see what I did wrong

Answer 7

18 = (1.67)(6)l
l = 1.79

Answer 8

yes, k = 5/3 exactly. so you should get 1.8 exactly

Answer 9

Thank you phi

Answer 10

yw