Pendulum Experiment - time period and length of string

AI Thread Summary
The pendulum experiment demonstrated a positive correlation between the length of the string and the average time period, with longer strings resulting in longer periods. The observed graph of time squared against length produced a faint "s" shape rather than a clear curve, raising questions about its expected form. To clarify the relationship, plotting time squared against length or time against the square root of length may provide better insights. It is suggested that either graph could suffice to demonstrate the proportionality of time to length, depending on the context of the analysis. Understanding these relationships is crucial for accurately interpreting pendulum dynamics.
physics-chris
Messages
4
Reaction score
0

Homework Statement


Hi, in class we done the classic pendulum experiment to investigate the relationship between time period and the length of the string. Here are my averages for time period and the length:
Length (m)----Average time (T1+T2/2)
0.2 11.3
0.4 14.9
0.6 17.41
0.8 19.98
1 23.71


The Attempt at a Solution


Having drawn the graph of Time against Length and getting a strong postive correlation, I was expecting time squared to produce a curved graph. However, it is coming out as a stretched "s" shape, all be it a very faint one, so it isn't far off from being straight. Should this be the case? And also, do I need both graphs together to demonstrate Time being proportional to Length, or, will either one be sufficient?

Thanks
 
Last edited:
Physics news on Phys.org
Try plotting T2 vs l or T vs√l
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Trying to understand the logic behind adding vectors with an angle between them'

Thread 'Trying to understand the logic behind adding vectors with an angle between them'

My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
View full post »

Similar threads

Derivation of time period for physical pendula without calculus
Replies
3
Views
2K
Finding g from a Compound Pendulum Graph
Replies
3
Views
8K
Understanding T^2 x L Graphing for Simple Pendulum Experiment
Replies
7
Views
5K
Measuring the period of SHM using sound
Replies
1
Views
1K
Pendulum periodic motion; period parameter
Replies
5
Views
2K
Impact of a elastic string on pendulum
Replies
1
Views
2K
Period of Pendulum Before String Extension
Replies
2
Views
3K
Period of oscillation for a pendulum
Replies
7
Views
7K
Calculating Gravity with Pendulum - Factors of influence
Replies
4
Views
2K
How Does Graphing Time Squared Reveal Pendulum Dynamics?
Replies
3
Views
7K

Hot Threads

Recent Insights

Back
Top