Question

A wave travels a distance of 60cm in 3s. The distance blw successive crests of thd wave is 4cm. What is the frequency?

Answer 1

Data:
ΔS = 60cm
Δt = 3s
Vm = ?

Vm = ΔS/Δt

`Vm = (60)/(3)`

`Vm = 20cm/s`

We have:

Vm = v
ΔS = λ
Δt = T


`v = (\lambda)/(T)`

`20 = (\lambda)/(4)`

`\lambda = 20*4`

`\lambda = 80cm`

Soon:


`v = \lambda*f`

`20 = 80*f`

`80f = 20`

`f = (20)/(80) simplify( (/20)/(/20) )= (1)/(4)`

`\boxed{f = 0,25Hz}`