Two loudspeakers, an oscillator and constructive interference at a point?

AI Thread Summary
To determine the frequency that produces constructive interference at point P from two loudspeakers, the distances from each loudspeaker to point P must be equal to an integer multiple of the wavelength. The speed of sound is given as 344 m/s, and the frequency range of the oscillator is between 1300 Hz and 1800 Hz. The relationship between speed, frequency, and wavelength can be used to formulate the necessary equations. By calculating the wavelengths corresponding to the desired frequencies, one can find the conditions for constructive interference. Understanding these principles is essential for solving the problem effectively.
Cade
Messages
90
Reaction score
0

Homework Statement


Two loudspeakers placed X meters apart are driven in phase by an audio oscillator, whose frequency
range is 1300 Hz to 1800 Hz. A point P is located A meters from one loudspeaker and B meters from the
other. The speed of sound is 344 m/s. What is the frequency produced by the oscillator, for which
constructive interference of sound occurs at point P?

Homework Equations




The Attempt at a Solution


I don't know how to start.
 
Physics news on Phys.org
For constructive interference, the distance from the two sources to P must be an equal number of wavelengths. Writing that as an equation would give you a start!
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top