Quick question regarding photogates

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Homework Help Overview

The discussion revolves around the use of photogates in a lab setting, specifically focusing on the relationship between the angle of the photogate and the measurement of a cart's velocity on an air track. The original poster seeks clarification on why the photogate must be perpendicular to the track to ensure accurate velocity readings.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to analyze the effect of the photogate's angle on velocity measurements by breaking down the components of the cart's motion. They question whether their understanding aligns with the professor's statement regarding the necessity of perpendicular alignment.
  • Some participants inquire about the technical details of the photogate's operation, specifically whether it uses a single laser beam or multiple beams to detect the flag's obstruction.

Discussion Status

The discussion is ongoing, with participants exploring the mechanics of the photogate and its implications for accurate measurements. There is a focus on clarifying the operational principles of the photogate and the geometric considerations of the flag used in the experiment.

Contextual Notes

The original poster notes that the flag's thickness is negligible, which may influence the discussion about measurement accuracy. Additionally, there is an emphasis on the professor's instruction regarding the alignment of the photogate, suggesting that this is a critical aspect of the lab setup.

josbear
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Hey everyone,

I had a quick question that arose in a lab last week and think this is the best place to post it. Please correct me if I am wrong. It is not a "homework" question so much as a question that came to me in a lab.

Homework Statement


In my lab last week, we were using air tracks and photogates to illustrate the transfer of potential energy to kinetic energy in a cart. At the beginning of class my professor made it clear that the photogate had to be perpendicular to the track in order to measure the cart's true velocity. I haven't been able to stop thinking about this statement since the class and was hoping someone could clarify to me why the photogate must be perpendicular to the air track (and therefore direction of motion of the cart).

So my question, I guess, is: does the angle of the photogate to the air track affect the velocity measurement of the cart?

*The flag thickness is negligible*

Homework Equations


d=vt

The Attempt at a Solution


I tried drawing it out and breaking the length of the "flag" on the cart and the velocity into components to calculate the time the laser is obstructed. If I'm not mistaken, the angle of the track to the photogate cancels out.

http://imgur.com/S7Kxpew[2]

I've attached an image of my work so far. I defined "L" to be the length of the flat flag used to trigger the photogate, "v" to be the velocity vector of the cart, and "theta" to be the angle in between the track and photogate.

Am I doing something wrong here or was my lab professor mistaken?

Thanks in advance!
 
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Hi josbear. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Does the photogate contain a single laser beam blocked for a duration by the flag, or does it contain two parallel beams interrupted in succession by the flag?
 
Last edited by a moderator:
Hi NascentOxygen,

The photogate has a single laser beam that is blocked by the flag.
 
josbear said:
The photogate has a single laser beam that is blocked by the flag.
And the geometric shape of that flag is ...?
 
NascentOxygen said:
And the geometric shape of that flag is ...?

The flag is a rectangular piece of sheet metal with negligible thickness.
 

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