What are the systematic errors in measuring the speed of sound in air?

AI Thread Summary
To measure the speed of sound in air accurately, the experiment involves using an oscilloscope to time a sound pulse traveling from a transmitter to a receiver. The setup requires the transmitter and receiver to be tuned to a resonant frequency between 38 kHz and 42 kHz, allowing for precise wavelength measurement by adjusting the receiver's position until the waves are in phase. Systematic errors in the experiment may arise from inaccuracies in wavelength measurement, timing errors, and environmental factors affecting sound propagation. The discussion seeks clarification on what constitutes a systematic method for measuring wavelength and identifies potential significant systematic errors. Understanding these errors is crucial for improving measurement accuracy in sound speed experiments.
roam
Messages
1,265
Reaction score
12

Homework Statement



I want to carry out an experiment in order to make accurate measurement of the speed of sound in air.

Method:
We will measure the speed of sound waves in air by measuring the time required for a short sound pulse to travel from its source to a receiver. This time interval is short and is
measured with the help of an instrument called an oscilloscope. The experimental setup is shown in the figure below:

[PLAIN]http://img130.imageshack.us/img130/8742/18948898.gif

The sound wave from T is picked up by a receiver (R).

The transmitter & receiver have resonant frequency somewhere between 38 kHz to 42 kHz. Once we set the the signal generator to the resonant frequency, at which amplitude the wave length \lambda of the sound can be measured this way: first adjust the position of R so that the two waves displayed on the oscilloscope are in phase ; second shif R backward or forward until the two waves are back in phase; third since R must have traveled by \lambda to bring the two waves back in phase, the difference between the initial and final position of R is equal to one \lambda.

(i) Come up with a systematic method to measure the wave length \lambda.

(ii) Find the velocity using v=\lambda f. Then list as many systematic errors as you can.

The Attempt at a Solution



(i) What is it meant by a "systematic method" for measuring the wave length? Is it reffering to an accurate way of measuring it (like repeating the experiment a few times and averaging the results)?

(ii) I think the systematic errors in this experiment are related to the systematic errors in measuring the wave length. But I don't know what those errors might be ...

What systematic error is the most significant?
 
Last edited by a moderator:
Physics news on Phys.org
Any suggestions guys?
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged 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