The wavelength of a travelling wave is 4m at a frequency of 10hertz. what time later will there be another crest at x=3m? ii) if the amplitude of the wave is 12m, write the equation of the wave?
2 Answers
I found:
Explanation:
I would write the equation as:
where:
You have everything here:
From the frquency you get the period as:
so finally your wave (propagating in the
(i)
(ii)
Explanation:
A basic wave@ may be expressed in the following general equation
where
wavenumber
angular frequency
(
From the given frequency of
(i) What time later will there be another crest at
We know that for any value of
(ii) Inserting values of
.-.-.-.-.-.-.-.-.-.-.-.-.--.-.-.-.-.-.-.-.-.-
@which can be shown to be the usual sine and cosine forms using Euler's formula.
Rewriting the argument as,
We see that this expression describes a vibration of wavelength