An astronaut has landed on Planet N-40 and conducts an experiment to

AI Thread Summary
An astronaut on Planet N-40 conducts an experiment using a 0.640 m pendulum to determine the planet's gravitational acceleration. Initially, she calculates the period of oscillation as 2.6 seconds for 10 oscillations but miscalculates the acceleration due to gravity. After receiving guidance, she correctly applies the formula g = (4π² * L) / T², leading to the accurate calculation of g. The discussion emphasizes the importance of correctly determining the period and using the appropriate formula for gravitational acceleration. Ultimately, the correct approach yields the desired results for the experiment.
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Homework Statement



An astronaut has landed on Planet N-40 and conducts an experiment to determine the acceleration due to gravity on that planet. She uses a simple pendulum that is 0.640 m long and measures that 10 complete oscillations 26.0 s. What is the acceleration of gravity on Planet N-40?

Homework Equations



I am not sure what to use.

The Attempt at a Solution



I tried using T=2pi square root L/g and solve for g and plugged everything in. Period T I did 26/10 so 1 period every 2.6 seconds I got g=.595 and is non of the choices.

It is this formula above. I solved for g wrong. Now I got the correct answer thank you everyone.
 
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There's a formula that you can use. Find the period and you should be able to solve for g.

Edit:
What formula did you get when you solved for g? I got a different answer.
 
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axmls said:
There's a formula that you can use. Find the period and you should be able to solve for g.

Edit:
What formula did you get when you solved for g? I got a different answer.

When I caught my error I redid it and got g=(4pi^2 *L)/(T)^2
 
That should give you the correct answer.
 
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I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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