# 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

#### Answer:

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

#### Answer:

(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