Centripetal Acceleration lab question

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Homework Help Overview

The discussion revolves around a lab report focused on centripetal acceleration experienced by a person at the end of a rotating steel beam. The original poster is attempting to determine whether the acceleration remains constant, is zero, or changes over time based on their collected data and calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster shares their calculations and expresses uncertainty about the nature of centripetal acceleration. Some participants question the setup of the experiment, including whether the motion is circular and how accelerations were averaged. Others suggest that the x and y accelerations might vary sinusoidally while the combined magnitude could remain constant.

Discussion Status

The discussion is ongoing, with participants raising questions about the methodology and data analysis. There is an exploration of the relationship between velocity and acceleration, and some guidance is offered regarding the interpretation of the data and the importance of measurement accuracy.

Contextual Notes

The original poster expresses concern about previous lab report feedback regarding acceleration, indicating a potential misunderstanding of constant versus changing acceleration in different contexts.

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1. This is more of a general question about a lab report I'm doing:
The purpose of this lab is to find if the acceleration of a person sitting on the end of a steel beam is moving at a constant acceleration, if they aren’t accelerating, or if acceleration changes with time.

I have all my data, equations, and final numbers I just can't tell what the centripetal acceleration is doing. Does it stay constant? or does it change with time?

Homework Equations


(ὠ^2)(r) = ac

The Attempt at a Solution


Here is my prediction:
(4.2^2)(.24m) = 4.21 rad/s^2 = ac
The actual fit number I came up with is 4.85 rad/s^2 and this was the average of a chart of average accelerations found from recorded different x and y values as a platform rotated around. I just can't tell if it is constant, changing with time, or 0.

Thanks for the help.
 
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It is very difficult to tell what the problem is. Was the person in circular motion?
How did you average the x and y accelerations? How were they measured?
For circular motion, I would expect the x and y accelerations to vary sinusoidally while their combined magnitude would be constant.
 
There is an amuesment park ride where people sit on the end of a rotating steel beam. For my lab we took a video of a beam rotating from its center. The camera was placed above the center facing down. After this was done it was brought into a computer program to be analyzed. We plotted points at the tip of the rotating beam as it went around. This gave us x and y and the t at which the occurred for every point (35 points plotted). From this we found Vx with: dx*dt and Vy with: dy*dt. Then we found the acceleration in the x direction with:dVx/dt and in the y direction with dVy/dt. Finally an average acceleration was found with SQRT((Ax^2)+(Ay^2)). From the average acceleration we are supposed to conclude if it was constant, 0, or changing. I'm having trouble figureing out which one it is. It is all dependent on the velocity. So as the velocity changes so does the acceleration?

I'm just worried because the last time we had a lab report (motion up and down an incline) I said the acceleration was changing and I lost a ton of points because it was constant.
 
So you have values of Ax, Ay and A = SQRT((Ax^2)+(Ay^2)) at various times?
What do the numbers look like? Have you got a graph of them versus time? I'm sure the Ax and Ay will vary, but the SQRT may well be constant to within the accuracy of measurement. Can you estimate the accuracy of your measurements of x, y and t? And deduce the accuracy of Ax, Ay and A from that? Only then can you say if they are constant to within the accuracy of measurement.
 

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