Thursday

August 28, 2014

August 28, 2014

Posted by **mike** on Monday, January 10, 2011 at 12:34am.

y = 3.45 / [6.35 + (6.35x−8.30 t )2]

where y and x are in cm, and t is in seconds.a) What is the maximum displacement of the wave at t = 7.50 s ?

b) what is the velocity.

- physics -
**Damon**, Monday, January 10, 2011 at 2:23amDo you mean

y = 3.45 / [6.35 + (6.35x−8.30 t )^2] ??

if so for part a we want the shape when t = 7.5

y = 3.45/[ 6.35 + (6.35x - 62.25)^2]

that is biggest when 6.35x =62.25

for part b, when is 6.35 x - 8.30 t a constant? That is where if we hold that constant the wave looks the same.

y = f(6.35x-8.30t)

constant when

6.35x-8.30t = k

x = (8.3/6.35)t + k/6.35

dx/dt = 8.3/6.35

- physics -
**mike**, Monday, January 10, 2011 at 7:25amThe following wave function represents a travelling wave:

y = 3.45 / [6.35 + (6.35x−8.30 t )2]

where y and x are in cm, and t is in seconds. a). What is the maximum displacement of the wave at t = 7.50 s ?

b). what is the wave velocity?

please explain more

- physics -
**Damon**, Monday, January 10, 2011 at 10:44amIf you move along with the wave, so that the wave always looks the same beside you, that is the phase velocity of the wave.

wave is a function of form:

y = f(ax-bt)

as long as ax-bt is constant, the function is constant

that happens when

a x - bt = constant

or

a dx/dt = b

dx/dt = b/a

- physics -
**Damon**, Monday, January 10, 2011 at 10:45amIn part a, the function is big when the denominator is small.

That is when

6.35x−8.30 t = 0

**Related Questions**

Physics - The following wave function represents a travelling wave: y = 5.35 / [...

physics - A wave on a string has a wave function given by y(x, t) = (0.0210 m)...

physics - A plane progressive wave is represented by the wave equation: y=0.1sin...

Physics HELP!! - A snapshot graph of a travelling wave is shown. The wave is ...

Physics - A snapshot graph of a travelling wave is shown. The wave is travelling...

Physics - A snapshot graph of a travelling wave is shown. The wave is travelling...

physics - A snapshot graph of a travelling wave is shown. The wave is ...

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 ...

physics - A snapshot graph of a travelling wave is shown. The wave is travelling...