How Do You Calculate the Phase Difference Between Two Sinusoidal Waves?

AI Thread Summary
The discussion focuses on calculating the phase difference between two sinusoidal waves defined as y1=2sin(20x-32t) and y2=2sin(25x-40t) at the point x=5 and t=2s. The calculations show that y1 equals 2sin(36) and y2 equals 2sin(45), resulting in a phase difference of 9 radians, which converts to approximately 515.66 degrees. The general formula for phase difference at any point x is derived as (25x-40t)-(20x-32t)=5x-8t. The importance of using proper units is emphasized, as the phase difference should be expressed in radians. The final phase difference is clarified to be 156 degrees after accounting for the conversion.
Wen
Messages
44
Reaction score
0
2 sinusiodal waves are defined

y1=2sin(20x-32t)
y2=2sin(25x-40t)

what is the phase difference between this two waves at point x=5 and t=2s. all length in cm.

I sketch the graph y/x and y/t and both have their max amplitude at x=3.2 , and t=3.125s.

so what is the different in phase? Arn't them in phase?
 
Physics news on Phys.org
The phase is simply the argument of the sinusoid wave. For y1 and y2 at x=5 and t=2 you get: y1=2sin(36) and y2=2sin(45). So the phase differerence is 45-36=9.

More generally, their phase difference at a certain point x is (25x-40t)-(20x-32t)=5x-8t.
 
but the answer is 156 degree?
 
Taht's why one should always use Proper units. The phase difference is in radiuns.
9 radiuns = 9*180/pi = 515.66 deg. = (360 + 155.66) deg
 

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 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Trying to understand the logic behind adding vectors with an angle between them'

Thread 'Trying to understand the logic behind adding vectors with an angle between them'

My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
View full post »

Similar threads

Phase Difference between Sinusoidal Waves
Replies
5
Views
3K
Phase Shift of two sinusoidal waves
Replies
6
Views
5K
Resultant equation of two identical out of phase waves
Replies
4
Views
5K
Phase Difference: Solving Homework Problems
Replies
1
Views
2K
What are the key components of sinusoidal wave equations?
Replies
1
Views
2K
How Do You Calculate the Energy of a Standing Wave?
Replies
21
Views
3K
Given two waves, find phase angle
Replies
4
Views
3K
How Do You Calculate Phase Difference and Equilibrium Timing in Harmonic Waves?
Replies
14
Views
2K
I How Can Two Waves with Different Amplitudes Be in Phase?
Replies
5
Views
2K
Calculating Phase Difference and Zero Point of Two Sinusoidal Waves
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top