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

• Kaneki
In summary, a pendulum oscillating 24.0 times per minute with a length of 1.53 m can be used to calculate the acceleration due to gravity using the formula T = 2π√ l/g, where T is the period of the pendulum and g is the acceleration due to gravity. The period of the pendulum is the time it takes for one complete oscillation, and the rate of oscillation is the number of oscillations per unit of time.

## 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?

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

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?

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?

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,,,

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?

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

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

Kaneki said:

my next guess is 10 seconds
wait would it be 10 periods

Kaneki said: