Acceleration of gravity at pendulum

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Homework Help Overview

The problem involves determining the acceleration of gravity based on the oscillations of a pendulum with a specified length and number of oscillations over a given time period.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the period of oscillation and the number of oscillations, with some attempting to clarify how to calculate the period from the total time and number of oscillations.

Discussion Status

Some participants have provided insights into calculating the period of oscillation and have questioned the original poster's understanding of the variables involved. There is an acknowledgment of the need to clarify the distinction between total time and time per oscillation.

Contextual Notes

The original poster expresses uncertainty about the steps taken and the role of oscillations in the calculations, indicating potential confusion regarding the application of the formula for gravity.

Aamun
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Homework Statement


A pendulum which is 2.00m long makes 84.5 complete oscillations in 4.00 min. What is the acceleration of gravity at that spot? Show all work and formulas.


Homework Equations



T=2(3.14) SQRT(l/g)

The Attempt at a Solution



L= g*(T/2pi)^2
2.00=g*(4.00/6.28)^2
g=4.9298 m/s

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I'm not sure if I'm missing a step, or if this is correct.. which is where I run into the problem. I'm also not sure of where the Oscillations would fit in.
 
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T is the number of seconds per oscillation. You can figure this out with the data given.
 
So it would be 4/84.5= 0.047 minutes per oscillation = 2.84 oscillations per second?
 
Last edited:
2.84 seconds per oscillation, yes.
 
If you're trying to find g, wouldn't it be easier to solve the equation for g immediately? But that's not the main problem. The 4 mins is not T, it is the time it takes for 84.5 oscillations, not 1.

EDIT: lol sorry too late :D
 
Ok, I got it, thanks a bunch! =)
 

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