Simple Harmonic Motion - Determine the period of oscillation

AI Thread Summary
The discussion revolves around calculating the period of oscillation for a system involving a light rod and a meter stick. The correct period for the oscillation was determined to be 2.19 seconds, while the period for a one-meter pendulum was calculated as 2.007 seconds. The user initially miscalculated the percentage difference, leading to confusion about the correctness of their answers. Ultimately, they realized the mistake was in not multiplying the percentage difference by 100, which clarified the solution. The conversation highlights common errors in physics calculations and the importance of careful verification.
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Homework Statement


A very light, rigid rod with a length of 0.620m extends straight out from one end of a meter stick. The stick is suspended from a pivot at the far end of the rod and is set into oscillation.
(a)Determine the period of oscillation.
(b)By what percentage does this differ from a one meter long simple pendulum?

Homework Equations


omega=sqrt((mgh)/i)
omega=sqrt((g/l))
omega=(2Pi)/T

The Attempt at a Solution


I got the correct period for part a, and it's 2.19s
For the second part, I used omega=sqrt((g/l)), and omega is 3.13, and T is 2.007s.
I used (2.19-2.007)/2.19 to find the percentage which is 0.0835. However, it's wrong...
This seems like a simple question but I'm keep getting the second part wrong. Any suggestions?
 
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I believe the denominator should be the period of the 1 m pendulum .
 
rock.freak667 said:
I believe the denominator should be the period of the 1 m pendulum .
The system said it's incorrect
 
KevinFan said:
The system said it's incorrect
Do you mean that you tried that as well, and the system said both answers are incorrect, or are you under the mistaken impression that rock.freak's suggestion is what you originally posted?
 
haruspex said:
Do you mean that you tried that as well, and the system said both answers are incorrect, or are you under the mistaken impression that rock.freak's suggestion is what you originally posted?
I tried both answers and they are all incorrect
 
haruspex said:
Do you mean that you tried that as well, and the system said both answers are incorrect, or are you under the mistaken impression that rock.freak's suggestion is what you originally posted?
Never mind, rock.freak667's method is correct. I forgot to multiply my answer by 100...
Thanks for all the help
 
Good that you found your mistake. Those errors are simple to make and easily overlooked at times!
 
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