Sinusoidal Wave Frequency 500 Hz: Pi/3 Rad Apart

  • Thread starter Thread starter bearhug
  • Start date Start date
  • Tags Tags
    Sinusoidal Waves
AI Thread 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?
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Amplitude relation with periodic time
Replies
3
Views
2K
How to Find Multiple Phase Constants
Replies
4
Views
1K
Multiple-Choice Questions on the Behaviour of Waves and Light 😁
Replies
5
Views
2K
Expression y(x,t) for sinusoidal wave traveling along a rope
Replies
6
Views
4K
What are the key components of sinusoidal wave equations?
Replies
1
Views
2K
Wave function - displacement - transverse wave
Replies
3
Views
2K
Sound (harmonic) waves questions
Replies
5
Views
2K
Sine Wave Questions: Wavelength, Frequency, Speed
Replies
2
Views
4K
Phase Shift of two sinusoidal waves
Replies
6
Views
5K
Find the time dependent magnetic field intensity
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top