Posted by **Edwin** on Friday, March 26, 2010 at 12:04pm.

A plane progressive wave is represented by the equation: y= 0.1sin(200pi(t)-20pi(x/17) where y is the displacement in millimetres, t is in seconds and x is the distance from a fixed origin O in metres. Find (i) the frequency of the wave, (ii) its wavelength (iii) its speed, (iv) the phase difference in radians between a point 0.25m from O and a point 1.10m from O.

- physics -
**drwls**, Friday, March 26, 2010 at 12:23pm
(i) For the frequency f, require that

200*pi*t = 2*pi*f*t

and solve for f. Obviously f = 100 Hz

(ii) For the wavelength L, require that

20 pi (x/17) = 2 pi (x/L).

That means in this case

10/17 = 1/L

L = 1.7 meters.

(iii) The wave speed is f*L = 170 m/s

(iv) The phase difference can differ by added multiples of 2 pi. I assume you want the minimum phase difference.

The difference between 1.1 and 0.25 is 0.85 m. That is 1/2 of a wavelength, so that would be the phase shift.

## Answer This Question

## Related Questions

- Physic - A plane progressive wave is represented by the equation: y= 0.1sin(...
- physics - A plane progressive wave is represented by the wave equation: y=0.1sin...
- physic - A progressive wave is represented by the equation where y is in mm, t ...
- physics - A plane progressive wave on a water surface is given by the equation y...
- physics - A progressive and a stationary simple harmonic wave each have the same...
- Physics - The following wave function represents a travelling wave: y = 5.35 / [...
- math - A particle travelling along a straight line starts with a velociry ofu ...
- physics - The equation y=5sin(3x-4)where y is in millimeters x is in metres and ...
- Physics - The wave is travelling to the right at 50.0 m/s. What is the amplitude...
- Physics HELP!! - The wave is travelling to the right at 18.2m/s. What is the ...

More Related Questions