Pendulum Oscillations: 24/min, 1.53m Long, Find Gravity

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Homework Help Overview

The discussion revolves around a pendulum oscillating 24 times per minute with a length of 1.53 meters, and the goal is to find the acceleration due to gravity at that location. The subject area involves concepts from mechanics, specifically related to pendulum motion and oscillations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the meaning of the variables in the pendulum equation, particularly questioning the definitions of period, length, and gravity. There are attempts to clarify how the period relates to the rate of oscillation and the implications of oscillation frequency.

Discussion Status

The discussion is ongoing, with participants seeking to understand the relationship between the period of the pendulum and its oscillation rate. Some guidance has been provided regarding the definitions of terms, but there is still uncertainty and a lack of consensus on the mathematical relationships involved.

Contextual Notes

Participants express confusion about the concepts and terminology related to pendulum motion, indicating a need for foundational understanding before progressing further. There is an acknowledgment of the original poster's newness to the topic, which may affect their ability to engage with the material fully.

Kaneki
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Homework Statement


A pendulum oscillates 24.0 times per minute in a particular location. If the
pendulum is 1.53 m long, what is the acceleration due to gravity there?

Homework Equations



T = 2π√ l/g

The Attempt at a Solution



I don't have one because i literally got into this unit. I am really confused and this hurts my brain
 
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Do you have a specific question?
 
DrClaude said:
Do you have a specific question?

i guess, how would i solve this?
 
Kaneki said:
i guess, how would i solve this?
You posted an equation. Equations are kind of useless unless you understand what the variables in it refer to. What do you think the T, l and g refer to in your equation?
 
haruspex said:
You posted an equation. Equations are kind of useless unless you understand what the variables in it refer to. What do you think the T, l and g refer to in your equation?
You're right, it's just that it was on my homework sheet so I thought it might be important to post it. I think g refers to gravity, l refers to length but t I don't know, would T be time?
 
Kaneki said:
You're right, it's just that it was on my homework sheet so I thought it might be important to post it. I think g refers to gravity, l refers to length but t I don't know, would T be time?
Yes. Specifically, it is the period of the pendulum. Do you know what that means, and how it relates mathematically to the rate of oscillation?
 
haruspex said:
Yes. Specifically, it is the period of the pendulum. Do you know what that means, and how it relates mathematically to the rate of oscillation?
Period of the pendulum must mean how long it goes back and forth in 'x' amount of time, Idk, I'm sorry, I'm new. Now I can't deduct how it would relate to it Mathematically. Would it be to calculate to see how long it would take for the pendulum to go back and forth if the length was 'x' . Sorry, never mind. I don't know why it relates to it mathematically.
 
Kaneki said:
Period of the pendulum must mean how long it goes back and forth in 'x' amount of time,
Not quite - it's the time it takes to go back and forth once, i.e. to complete one oscillation.
Suppose a pendulum goes back and forth 10 times each second. What would its period be? What would its rate of oscillation be?
 
haruspex said:
Not quite - it's the time it takes to go back and forth once, i.e. to complete one oscillation.
Suppose a pendulum goes back and forth 10 times each second. What would its period be? What would its rate of oscillation be?
hmm, i don't clearly understand the question. If period is the time it takes to go back and forth once. would the period be one second?
 
  • #10
Kaneki said:
hmm, i don't clearly understand the question. If period is the time it takes to go back and forth once. would the period be one second?
No. If something happens ten times in a second, how long it take to happen once?
 
  • #11
haruspex said:
No. If something happens ten times in a second, how long it take to happen once?

I am about to embarrass myself but my only guess or the only thing i can think of is, a millisecond? sorry,,, it takes time for me understand,,,
 
  • #12
Kaneki said:
I am about to embarrass myself but my only guess or the only thing i can think of is, a millisecond? sorry,,, it takes time for me understand,,,
If it takes a millisecond to do a thing once, would it take a second to do it ten times?
 
  • #13
haruspex said:
If it takes a millisecond to do a thing once, would it take a second to do it ten times?

scratch that please,
haruspex said:
If it takes a millisecond to do a thing once, would it take a second to do it ten times?

my next guess is 10 seconds
 
  • #14
Kaneki said:
scratch that please,my next guess is 10 seconds
wait would it be 10 periods
 
  • #15
Kaneki said:
scratch that please,my next guess is 10 seconds
I'm not interested in guesses. Let me know when you've worked it out.
 

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