Finding Tbeat for 2 waves of periods T1 and T2 using oscilloscope

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1. The problem statement, all variables and given/known data
I am asked to measure T1, T2, Tbeat, and Tbar using oscilloscope.

Can anyone tell me what these means?


2. Relevant equations



3. The attempt at a solution
 
Re: oscilloscope

nope.. it has nothing to do with music... but yea.. I am given two frequencies that I need to set in the oscilloscope...
 

LowlyPion

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Re: oscilloscope

So like acoustic beats:
http://en.wikipedia.org/wiki/Beat_(acoustics [Broken])
 
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Re: oscilloscope

it has to do with electricity and nothing with music... it has to do with T-networks
 

Redbelly98

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Re: oscilloscope

Just taking an educated guess, that:
  • T1 and T2 are the periods of two separate waveforms
  • Tbeat is the period of the beats, when the two waveforms are combined.
  • Tbar is the "period" of the sine-wave-like waveform, when the two waveforms are combined.
 
Re: oscilloscope

I guess you're right redbelly98... I still however don't understand how to get Tbeat in an oscilosscope
 

Redbelly98

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Re: oscilloscope

Tbeat would be the time interval of each beat. For example, 20 to 21 ms in this waveform:

http://www.picotech.com/experiments/sound_interference/graphics/frequency_image.gif
 
Re: oscilloscope

ermmm.. the picture didn't show up
 

George Jones

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Re: oscilloscope

ermmm.. the picture didn't show up
Here is the image of the sum of two equal amplitude sinusoidal waves whose frequencies differ by 10%.

Do you see how to measure T_bar and T_beat?
 

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Redbelly98

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Re: oscilloscope

ermmm.. the picture didn't show up
Sorry!

George has posted an equally good picture. But just to prove to everybody that I'm not a completely stark raving lunatic :biggrin:, here is the image I meant to include:

http://www.picotech.com/experiments/sound_interference/graphics/frequency_image.gif
 
Re: oscilloscope

>>Do you see how to measure T_bar and T_beat?

No I don't, can you please explain?
 
Re: oscilloscope

Sorry!

George has posted an equally good picture. But just to prove to everybody that I'm not a completely stark raving lunatic :biggrin:, here is the image I meant to include:

http://www.picotech.com/experiments/sound_interference/graphics/frequency_image.gif
And it's still not there
 
Re: oscilloscope

and so how do you calculate teh T bar and T beat from that image
 

Redbelly98

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Re: oscilloscope

Just measure them off of the graph ... but first you have to know what they mean :smile:. What were you told is the definition of Tbar and Tbeat?

EDIT: I ask this because beating should have been discussed either in a class lecture, or in your textbook.
 
Re: oscilloscope

What were you told is the definition of Tbar and Tbeat?

that's why I asked it here, but someone defined it for me above
 

Redbelly98

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Re: oscilloscope

2 questions for you:
Have you used an oscilloscope before? Also, has there been any discussion of beating in your class lectures?

If the answer is "no" to either of these questions, it is very difficult to give you a good explanation and I would recommend that you ask your lab instructor about it. Wikipedia has a pretty decent explanation of beating:
http://en.wikipedia.org/wiki/Beat_(acoustics)#Mathematics_and_physics_of_beat_tones

And if you have already used an oscilloscope, and have learned about beating in your lectures:

Tbeat is the time interval between beats. Once you have the waveform displayed on the oscilloscope, measure that time interval.

I think Tbar is the period of the fast-oscillating part of the waveform. Again, it's just measured on the oscilloscope.
 
Re: oscilloscope

well.. yes there has been a discussion about beating in the class, but it wasn't that clear..
 
Re: oscilloscope

Ok I just realized that T_bar is just the average of T1 and T2, is there a specific way to know this in an osciloscope? Or do I just simply measure T1 and T2 and do the math on paper?
 

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