(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

We did a lab using a pendulum attached to a string about 1.12m long. We let it go from 20 degrees and counted 10 cycles and recorded how much time it took for the pendulum to complete 10 cycles. This lab is done assuming, there is no air resistance or any other force other than just gravity. We did 3 test cases.

Test case 1- time it took for the pendulum to complete 10 full cycles is 23.41 s.

Test case 2- time it took for the pendulum to complete 10 full cycles is 23.41 s.

Test case 3- time it took for the pendulum to complete 10 full cycles is 23.44 s.

Find the average time for 10 cycles.

Using this average time, calculate the period of the pendulum.

Using the period of the pendulum and its length, calculate the value of "g".

I don't know how to do average time, and if i get the average time wrong then i get number 2 wrong and then my answer for number 3 will be wrong. So i did make an attempt, can someone check if i am doing it right and if my answer seem fine for all questions. Please and Thank you.

2. Relevant equations

T= 2∏ √ L/g

Period: Δt/Nc

Average time for 10 cycles : Δt/ Nc

3. The attempt at a solution

1. Find the average time: Test case 1: 23.41s/10 =2.341 seconds per cycle.

Test case 2- 23.41s/10 =2.341 seconds per cycle.

Test case 3- 23.44/10 = 2.344 seconds per cycle.

2. Period= Δt/ Nc

Test case 1 and 2: 2.341s / 10 = 0.2341

Test case 3: 2.344/10= 0.2344

3. Find g.

4∏^2 (L)

---------- = g

T^2

4∏^2 (1.12m)

--------------- = g

0.2341^2

g= 806.81 m/s^2

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