The discussion focuses on calculating the acceleration due to gravity using a pendulum that oscillates 24 times per minute and has a length of 1.53 meters. The relevant formula is T = 2π√(l/g), where T represents the period of the pendulum, l is the length, and g is the acceleration due to gravity. To find g, the user must first determine the period (T) from the oscillation frequency and then rearrange the formula to solve for g. The conversation highlights the importance of understanding the relationship between period and frequency in pendulum motion.
PREREQUISITESStudents studying physics, educators teaching pendulum dynamics, and anyone interested in the mathematical relationships in oscillatory motion.
DrClaude said:Do you have a specific question?
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?Kaneki said:i guess, how would i solve this?
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?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?
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?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?
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.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?
Not quite - it's the time it takes to go back and forth once, i.e. to complete one oscillation.Kaneki said:Period of the pendulum must mean how long it goes back and forth in 'x' amount of time,
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?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?
No. If something happens ten times in a second, how long it take to happen once?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?
haruspex said:No. If something happens ten times in a second, how long it take to happen once?
If it takes a millisecond to do a thing once, would it take a second to do it ten times?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,,,
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?
wait would it be 10 periodsKaneki 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.Kaneki said:scratch that please,my next guess is 10 seconds