Sinusoidal Wave Frequency 500 Hz: Pi/3 Rad Apart

  • Thread starter Thread starter bearhug
  • Start date Start date
  • Tags Tags
    Sinusoidal Waves
Click For Summary
A sinusoidal wave with a frequency of 500 Hz travels at a speed of 350 m/s, resulting in a wavelength of 0.70 m. To find the distance between two points differing by Pi/3 radians, the wave number k is calculated as 8.98. The angular frequency w is determined to be 3141 rad/s by converting the frequency to period. The approach involves using the equation y = Asin(kx - wt + Pi/3) to solve for the distance apart, although the amplitude is not needed for this calculation. The phase difference between two points a whole wavelength apart is 2π radians.
bearhug
Messages
78
Reaction score
0
A sinusoidal wave of frequency 500 Hz has a speed of 350 m/s.
(a) How far apart are two points that differ in phase by Pi/3 rad?

I was thinking that I need to use the equation y= Asin(kx-wt+pi/3)

I found the wavelength=0.70m

used this to find k=8.98

solved for w by converting the frequency to the period and using w=2pi/T to get w=3141 but I don't have amplitude.

I figured after plugging everything in and solving for x gives me the distnace apart. Is this the right approach?
 
Physics news on Phys.org
What is the phase difference between two points that are a whole wavelength apart?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K