Wave motion is expressed with trigonometric functions

[Bez]

I was wondering if someone would be able to help me with the following questions:
-A progessive wave has amplitude 0.40m and wave length 2.0m. At a given times the displacement y=0 at x=0. Calulate the displacement at (a)t=5sec (b) t=0.8sec
-A progessive wave has amplitude 2.5m and a time period of 10sec. At a given distance the displacement y=0 at t=0. Calulate the displacement at (a)t=0.001sec (b) t=0.003sec

It would be useful if there is a step up step method, which could show how you got to the answer that you got, which therefore means that i would be able to use it for other examples. Thankyou.

 

[radou]

I'm not sure if I can give you an exact answer, but wave motion is expressed with trigonometric functions. If you figure out what the definitions of the amplitude and wave length are, you should be able to construct a time dependent function which will give you the answer.

 

[Bez]

I'm not sure if I can give you an exact answer, but wave motion is expressed with trigonometric functions. If you figure out what the definitions of the amplitude and wave length are, you should be able to construct a time dependent function which will give you the answer.

so i just draw a wave and find the displacement and time using tht?... well i did try tht but it didn't really help much.

 

[radou]

Did you use an equation of the form $$y = A \sin (\omega t - \phi)$$? Something at least similar to that must have been mentioned in your lecture notes, if you're dealing with waves.

 

[Bez]

well... we only started the topic therefore we were only taught the equation: f=1/T or T=1/f and v=wavelength x f.

 

[radou]

well... we only started the topic therefore we were only taught the equation: f=1/T or T=1/f and v=wavelength x f.

Ok, I'll hand you over a link which is almost always handed over [], and which you should investigate: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/trawvcon.html#c1".

 

[Bez]

hey whn it comes to drawing the waves---how do u know where the 0.50m or the 1.4m is? as you are just drawing a wave... the amplitude is the displacement right? and the wave has a amplitude of 0.40m

 

[radou]

hey whn it comes to drawing the waves---how do u know where the 0.50m or the 1.4m is? as you are just drawing a wave... the amplitude is the displacement right? and the wave has a amplitude of 0.40m

The answer to your question is on the link I gave you - all you have to do is read.

 

[Bez]

nope... the site wasn't really useful in solving the question tht i had... u sure it can be used for AS Level Physics for Edxcel Nuffield?

 

[Bez]

thanks you letting me know about the site.