Uniform circular motion lab question

[sunriserocks]

Could any here smart people help me with the Lab question: 3. Why do we measure the period by timing 25 revolutions? Why not one revolution or 100
revolutions?
This is from http://www2.sunysuffolk.edu/denicog/labs/lab11_132.pdf
Lab from Uniform Circular motion.

Thank you so much!

 

[tiny-tim]

welcome to pf!

hi sunriserocks! welcome to pf!

Why do we measure the period by timing 25 revolutions? Why not one revolution or 100 revolutions?

it's a compromise …

too few revolutions, and the experimental error will be too high

but too many revolutions, and the speed will change

so you choose a number that you guess will minimise the total error

the book is advising you that, in this case, 25 is about right ​

 

[Emilyjoint]

You need to realize that any measurement involves an uncertainty (error).
When you are dealing with oscillations there are 2 obvious causes of uncertainty.
1) you may mis-count the number of oscillations
2) you may mis-time the oscillations
Lets say that you can count the oscillations to within 1, ie you may miss one ! !. So if you decide to count 10 oscillations you could be out by 10%...so count more than 10 oscillations if possible.
Lets say you can time with a stop watch to within 1 second...by the same logic make certain that the time period you measure is more than 10 seconds.
What you decide to do depends on the circumstances. The principal behind it is uncertainty.
If 25 oscillations occur in 2 seconds this is not good enough because of the uncertainty in time.
Tiny tim advice is good

 

[sunriserocks]

Thank you so much guys for the help. Maybe you could also give me advice what should be in the conclusion?

 

[PJC01]

As a scientist, it is important to understand the reasoning behind experimental procedures and measurements. In the case of measuring the period in uniform circular motion, timing 25 revolutions allows for a more accurate and precise measurement. This is because taking the average of multiple revolutions reduces the impact of any errors or inconsistencies in the timing process. Measuring only one revolution may not be representative of the overall motion, while measuring 100 revolutions may be too time-consuming and prone to human error. Therefore, 25 revolutions strikes a balance between accuracy and practicality. Additionally, measuring multiple revolutions allows for the calculation of an average period, which can provide a more reliable result. Overall, timing 25 revolutions is a common practice in scientific experiments and is based on the principles of accuracy and precision.