Yes, I understand now. Thank you for explaining it to me.

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Homework Help Overview

The discussion revolves around calculating the frequency and period of an electric model train traveling around a circular track. The original poster presents their calculations and expresses confusion regarding the frequency of revolutions per second based on the train's speed and the track's radius.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between linear velocity, angular velocity, and the period of revolution. There are attempts to clarify the conversion between revolutions per minute and revolutions per second, as well as the implications of the calculated period.

Discussion Status

There is ongoing exploration of the calculations and concepts involved. Some participants suggest alternative approaches and question the assumptions made in the original calculations. The discussion reflects a lack of consensus on the correct interpretation of the results and the formulas used.

Contextual Notes

Participants are grappling with the definitions of period and frequency, as well as the correct application of formulas without clear understanding. There is mention of confusion regarding the use of the number 60 in the context of converting units.

vanitymdl
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A electric model train travels at 31.7 cm/s around a circular track of radius 1.73 m. How many revolutions does it perform per second, i.e, what is the motion\'s frequency?
______ Rev / s

Find the train\'s period of revolution.
______ s

This is how I worked out the problem:
v^2/r = rw^2
.317^2/1.73 = 1.73w^2
.317^2/1.73^2 = w^2
w = 0.18323699421 radians per second.
there are 2 pi radians, so it takes 2pi radians / .1832 radians/second = seconds

34.3 seconds
1.75 revolutions per second (60/34.3)

I'm getting that 1.75 rev/s is wrong and I don't know why or how
 
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vanitymdl said:
A electric model train travels at 31.7 cm/s around a circular track of radius 1.73 m. How many revolutions does it perform per second, i.e, what is the motion\'s frequency?
______ Rev / s

Find the train\'s period of revolution.
______ s

This is how I worked out the problem:
v^2/r = rw^2
.317^2/1.73 = 1.73w^2
.317^2/1.73^2 = w^2
w = 0.18323699421 radians per second.
there are 2 pi radians, so it takes 2pi radians / .1832 radians/second = seconds

34.3 seconds
1.75 revolutions per second (60/34.3)

I'm getting that 1.75 rev/s is wrong and I don't know why or how

I would just use v=rw. It's a more basic formula. But it's going to give the same thing. You've got 34.3 seconds for the period ok. And 60/34.3 would be ok if you wanted revolution/minute because there are 60 seconds in a minute. But that's not what they are asking for. Can you fix it?
 
But I thought 60/34.3 would give me the seconds? So what you're saying is that I have to convert 60/34.3 re/min to rev/sec? Isn't that what 34.3 is, it's seconds
 
vanitymdl said:
But I thought 60/34.3 would give me the seconds? So what you're saying is that I have to convert 60/34.3 re/min to rev/sec? Isn't that what 34.3 is, it's seconds

If a revolution takes 2 seconds, how many revolutions per second? There is really no 60 needed.
 
Okay so if it take 2 seconds per revolution. I would take my seconds which is 34.3 and multiply it by 2?
 
vanitymdl said:
Okay so if it take 2 seconds per revolution. I would take my seconds which is 34.3 and multiply it by 2?

Noo. If it takes 2 seconds to make a revolution, then in 1 second it will make 1/2 revolution. So that's 1/2 revolution per second. Not 60/2. Just think about it. This is a different question.
 
Okay well I'm still getting it wrong but thank you anyway
 
vanitymdl said:
Okay well I'm still getting it wrong but thank you anyway

You're welcome. But think about this. Where did the 60 in your problem even come from? I think you are just plugging into formulas without thinking about what they mean.
 
What I understood is I get 34.3/2 and get 17.5 but that's still the wrong answer
 
  • #10
vanitymdl said:
What I understood is I get 34.3/2 and get 17.5 but that's still the wrong answer

The 2 was just a simple example to try to get you to understand where the formulas are coming from. Here, I'll spell it out: if p is period in seconds, then 60/p is revolutions per minute. 1/p is revolutions per second. Can you understand why?
 

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