Measure the diameter of a marble with a micrometer

In summary, the conversation discusses the process of measuring the diameter of a marble with a micrometer and calculating its volume using the formula V = (4/3 * Pi * r3). The importance of taking multiple readings at different points and directions is emphasized for a more accurate result. The use of a digital micrometer and the value of Pi to more decimal places are also suggested. The conversation concludes with the confirmation of using this method and the mention of a figure to illustrate the idea.
  • #1
Jadaav
175
1
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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  • #2


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.
 
  • #3


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.
 
  • #4


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
 
  • #5


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.
 
  • #6


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.
 

1. How do I use a micrometer to measure the diameter of a marble?

Micrometers are precision measuring tools that are used to measure small objects with high accuracy. To measure the diameter of a marble with a micrometer, first open the jaws of the micrometer and place the marble in between them. Close the jaws gently until they touch the opposite sides of the marble. The measurement on the micrometer scale will indicate the diameter of the marble in millimeters.

2. What is the accuracy of a micrometer when measuring the diameter of a marble?

The accuracy of a micrometer depends on its precision and the skill of the user. Most micrometers have a precision of 0.01 mm, which means they can measure up to two decimal places. This level of precision is usually enough to accurately measure the diameter of a marble.

3. Can I use a ruler or a tape measure to measure the diameter of a marble?

While it is possible to use a ruler or a tape measure to measure the diameter of a marble, these tools are not as accurate as a micrometer. Rulers and tape measures are designed to measure larger objects and may not be able to provide precise measurements for smaller objects like marbles.

4. What are the units of measurement for micrometers?

Micrometers typically measure in millimeters (mm) or micrometers (μm). Some micrometers may also have scales for inches and centimeters, but these are less commonly used for measuring small objects like marbles.

5. How do I ensure the accuracy of my measurements when using a micrometer?

To ensure the accuracy of your measurements, it is important to use the micrometer correctly and to take multiple measurements to account for any potential errors. It is also recommended to calibrate the micrometer regularly and use a clean and stable surface for measuring the marble.

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