Calculating Accelaration Due to Gravity for Year 10 Student

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Discussion Overview

The discussion revolves around calculating the acceleration due to gravity in imperial units, specifically converting the value from metric (9.81 m/s²) to feet per second squared. The context is primarily educational, aimed at assisting a Year 10 student with a homework problem.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • Sabrina expresses interest in physics and seeks help to convert the acceleration due to gravity from metric to imperial units.
  • One participant suggests finding the number of feet in a meter as a starting point for the conversion.
  • Sabrina requests a step-by-step explanation for the conversion process.
  • Another participant provides a calculation, stating that if there are about 3.28 feet in one meter, then 9.8 meters corresponds to approximately 32.2 feet per second squared.
  • A participant notes that this is a typical homework problem and encourages Sabrina to post her method for feedback.
  • Sabrina mentions a calculated value of 32.373 and asks if it is correct.
  • A question is raised about how many significant figures should be retained in the final answer.

Areas of Agreement / Disagreement

There is no consensus on the correctness of Sabrina's calculated value of 32.373, and participants have not agreed on the appropriate number of significant figures to use. The discussion remains unresolved regarding the final answer.

Contextual Notes

Participants have not explicitly stated assumptions regarding the conversion factors or the precision of the values used, which may affect the final result.

sabrina123
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I am in year 10 and I am very interested in physics, but I came up researching on this topic of acceleration due to gravity, but when I looked this question 'accelaration due to gravity is 9.81ms-2. what is the value in imperial units (ft.s-2)' I really wanted to work it out so badly. Could anyone possibly help me how to work this out, and what is the value?


I totally appreciate for your support :).


Regards

Sabrina
 
Physics news on Phys.org
Find out how many feet are in one meter. This will help you.
 
I really don't understand how to do it :(. I appreciate if you could show me the steps. Thank you so much.


Regards

Sabrina
 
Sure. So you know that the acceleration due to gravity is 9.8 meters per second squared. A quick Google search also reveals that there are about 3.28 feet in one meter. Now think logically: If an object travels one meter, it will have traveled 3.28 feet. If an object travels two meters, it will have traveled 6.56 feet (2 times 3.28). Likewise, if an object travels 9.8 meters (per some unit, in this case seconds squared; it really doesn't matter), it will travel about 32.2 feet (9.8 times 3.38) per the same unit. So the acceleration due to gravity in Imperial Units is about 32.2 feet per second squared.

I hope this was understandable and not too convoluted.
 
This is a typical homework problem. Post your method of solution and we will tell you if it is correct or not.
 
the method solution i wrote and kind of worked out is 32.373 :$. is that correct?
 
How many significant figures should you keep?
 

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