Calculating Peak-to-Peak Amplitude of Out-of-Phase Sine Waves

AI Thread Summary
Two sine waves with equal peak-to-peak amplitudes of 81 and a phase difference of 90 degrees will result in a resultant wave with a peak-to-peak amplitude of 81. The discussion highlights the importance of graphing the functions to visualize the intersections, which indicate the maximum and minimum amplitudes of the resultant wave. The mathematical representation of the waves is provided, suggesting the use of sine functions to analyze their behavior. Understanding the phase relationship is crucial for determining the resultant amplitude. Overall, the peak-to-peak amplitude remains unchanged despite the phase difference.
Sloan650
Messages
12
Reaction score
0
Two sine waves have equal peak to peak amplitudes 81 but are out of phase by 90 degrees. What is the peak to peak amplitude of the resultant wave.


I have no idea how to start this question, could someone give me guidance?
 
Physics news on Phys.org
Graph
40.5sin(\omega t-\frac{\pi}{2}) and 40.5sin(\omega t)
The points on the graph where these functions intersect are where the resultant will have its maximum (and minimum) amplitudes.
 

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 »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Phase difference between the two waves
Replies
1
Views
3K
Constructive Interference from Speakers on an x-axis
Replies
2
Views
1K
Sound Wave Interference and Finding the Path Differences with Diagrams
Replies
20
Views
5K
Trying to understand electromagnetism
Replies
38
Views
3K
Power calculations of AC signal
Replies
1
Views
2K
Length of string in a standing wave
Replies
19
Views
1K
Critical frequency of Faraday Waves?
Replies
6
Views
1K
Textbook 'The Physics of Waves': Linearity of Forced Oscillator
Replies
6
Views
847
Understanding Standing Waves in Open Tubes
Replies
1
Views
2K
Line voltage in 3 phase as single sine wave
Replies
15
Views
6K

Hot Threads

Recent Insights

Back
Top