Question

This is in reference to pendulums. Estimate the relative errors in the measurement of the periods...

This is in reference to pendulums. Estimate the relative errors in the measurement of the periods for each of them.

For two different angles, one is 5degrees and the other is 55 degrees. Length of the string is 0.83m.

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Answer #1

To calculate relative error, Just find the mean (average) of all the periods which you got from the experiment. After that find the deviation from mean for each period and again find the mean. As you did not provide any readings, Here is an example

Let's take the following time periods : 2.63, 2.56, 2.42, 2.71, 2.8

The mean will be 2.63+2.56+2.42+2.71+2.8 / 5 = 2.62

Error in measurement (deviation from mean)

2.63-2.62=.01sec

2.56-2.62=-.06sec

2.42-2.62=-.2sec

2.71-2.62=.09sec

2.80-2.62=.18 sec

Now find the mean of these errors

0.01 + 0.06 + 0.2 + 0.09 + 0.18 / 5 = 0.11

Relative error is = 0.11 / 2.62 = 0.04198

In percentage, it is 4 %

JUST USE THE ABOVE METHOD TO FIND RELATIVE ERROR FOR YOUR READINGS.

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