A student finds the acceleration due to gravity with a pendulum and gets 9.65 m/s²…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A student finds the acceleration due to gravity with a pendulum and gets . The accepted value is . Find the absolute error, the relative error and the percentage error.
Need a reminder? The key ideaShow
Absolute error |measured true|. Relative error , and the percentage error is that .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Absolute. .
Step 2. Relative. .
Step 3. Percentage. .
Answer: ; , a pure number; .
Check. One and a half percent of is about . Good.
Watch out. The relative error has no unit: divided by .
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