How to Measure the Time Period of Vertical Oscillations | Exam Preparation Tips

[MightyHound]

Here is the question:

Gently displace the mass and release it so that it performs vertical oscillations. Make measurements to determine the period T of the oscillations.

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So here is what I did:
Time for 20 oscillations = t1 (2 d.p)
Time for another 20 oscillations = t2 (2 d.p)

Average time for 20 oscillations = (t1 + t2)/2 (2 d.p)

Time for one oscillation, T = { (t1 + t2)/2 } / 20 ---> this is your answer correct to 1 decimal place.

Right. Next question:

Estimate the number of oscillations that would need to be timed in order to make the percentage uncertainty in T equal to 1%. Show your working.

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Let error in one reading be x

So we use the formula:

2x/T = 0.01
where T = { (t1 + t2)/2 } / N (N is the number of oscillations).

We use the above formula to find out N.

Here are my concerns:
Is the working above correct for the two questions?
What on Earth is the error in timers? (for protractors it is 1deg; for rulers it is 1mm).

Thanks friends.
I am getting that heartpounding, gutwrenching, vomit inducing exam jitters right about now. Exam is only a few days away.

I am not new to the forums here - I have been an avid view for some time now.
Thanks for all your help guys!

 

[Nate810]

Yes, the working above is correct for the two questions. The error in timers will depend on the accuracy of the timer you are using. Generally, if you are using a digital timer, the error should be quite small (on the order of milliseconds).

 

[m2003]

I can confirm that your working for the first question is correct. To measure the time period of vertical oscillations, it is important to take multiple measurements and calculate the average to reduce errors. Your formula for finding the period, T, is also correct.

For the second question, the formula you used to estimate the number of oscillations needed to make the percentage uncertainty in T equal to 1% is also correct. The error in timers can vary depending on the type and quality of the timer being used. It is important to use a reliable and precise timer to minimize error in your measurements.

I understand that exams can be nerve-wracking, but it is important to stay calm and confident in your knowledge and preparation. Keep practicing and reviewing, and I am sure you will do well on your exam. Good luck!