Measure the diameter of a marble with a micrometer

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SUMMARY

The discussion focuses on measuring the diameter of a marble using a micrometer, emphasizing the importance of accuracy in measurements. The correct formula for calculating the volume of a sphere is provided: V = (4/3 * Pi * r³). Key recommendations include using a digital micrometer for precision, employing a more accurate value of Pi, and taking multiple diameter readings at different points on the marble to calculate an average diameter for improved volume estimation.

PREREQUISITES
  • Understanding of micrometer usage
  • Knowledge of geometric formulas, specifically for volume calculation
  • Familiarity with the concept of averaging measurements
  • Basic knowledge of Pi and its significance in geometry
NEXT STEPS
  • Research the use of digital micrometers for enhanced measurement accuracy
  • Learn about the significance of taking multiple measurements in experimental physics
  • Explore advanced techniques for calculating volume in irregular shapes
  • Study the mathematical properties of Pi and its applications in geometry
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Students in physics or engineering, hobbyists interested in precision measurement, and anyone involved in practical applications of geometry and volume calculations.

Jadaav
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I got to measure the diameter of a marble with a micrometer. Whatever the diameter and the radius be, it doesn't matter here and calculate the volume of the marble
I was told to use the formula " V = Square root of (4/3 * 22.7 * rcube)".

Then the last question was asked:

"Give 1 practical detail that you did to get a more accurate result."

What does 1 practical detail means here ?
 
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Well your equation for the volume of a sphere is wrong.

Volume = ( 4/3 * Pi * r3 )

Well you could use a digital micrometer with a more accurate display.
You could use the value of Pi to more decimal places.

However, the most important one would be to take multiple readings for the diameter at different points of the marbles and then take an average of these readings to get the average diameter of the sphere. Then using this average value you can get a better approximation of the volume.
 


Well, thanks a lot.

I used the formula that you mentioned, I just couldn't write it on my first post.

"However, the most important one would be to take multiple readings for the diameter at different points of the marbles and then take an average of these readings to get the average diameter of the sphere. Then using this average value you can get a better approximation of the volume."

That's what I did, just wanted to confirm it.
 


I don't know if you did it this way, but it would have been good to measure the diameter along different directions across the marble. (As opposed to repeating the measurement always using the same two points.)

This figure sort of shows what I am talking about:

circle_diameter.gif
 


Redbelly98 said:
I don't know if you did it this way, but it would have been good to measure the diameter along different directions across the marble. (As opposed to repeating the measurement always using the same two points.)

Yeah, I think that's how he did it. That's what I was aiming for anyway.
 


Redbelly98 said:
I don't know if you did it this way, but it would have been good to measure the diameter along different directions across the marble. (As opposed to repeating the measurement always using the same two points.)

This figure sort of shows what I am talking about:

circle_diameter.gif

That's what I did and thanks.
 

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