Parth G | How to Always Make an Accurate Measurement #shorts @ParthGChannel | Uploaded 2 years ago | Updated 16 hours ago
Here's a quick #shorts about why it's better to make a bigger measurement in order to reduce the relative error.
Well, this is true if we have a given measurement device with a specific resolution. In this video we look at a length measurement made using a ruler with markings every millimeter.
Depending on what measurement system we use, we can say that any measurement the ruler makes will have a possible error of +/- 0.5 mm.
This is because any length between 4.5 mm and 5.5 mm (for example) would be rounded to a measured length of 5 mm.
So from this, we can see that the percentage (or fractional) error in this measurement is (0.5/5)*100 = 10%, which is quite large. In other words, a half millimeter error either way can have quite an impact on a 5 mm measurement.
However for a much larger measurement, say 50 mm, we can see the fractional error is much smaller - only 1%. This means that the range in which our measured length could actually fall is a much smaller proportion of the actual measured length, even though the absolute error is still the same at 0.5 mm.
Therefore, for a given device with a given resolution, try to make longer measurements if possible. This isn't so useful for measuring lengths, but certainly comes in handy in other scenarios.
For example, when measuring the period of oscillation of a pendulum, we can choose to make a single time measurement for many oscillations and then divide that measured quantity by the total number of oscillations. Since the number of oscillations is an integer without any error, the final fractional error in the period measurement is much smaller than if we just measured the time taken for one oscillation.
Thanks so much for watching - please do check out my socials here:
Instagram - @parthvlogs
Patreon - patreon.com/parthg
Music Chanel - Parth G's Shenanigans
Merch - https://parth-gs-merch-stand.creator-spring.com/
Many of you have asked about the stuff I use to make my videos, so I'm posting some affiliate links here! I make a small commission if you make a purchase through these links.
A Quantum Physics Book I Enjoy: https://amzn.to/3sxLlgL
My Camera (Sony A6400): https://amzn.to/2SjZzWq
ND Filter: https://amzn.to/3qoGwHk
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Gorillapod Tripod: https://amzn.to/3wQ0L2Q
Here's a quick #shorts about why it's better to make a bigger measurement in order to reduce the relative error.
Well, this is true if we have a given measurement device with a specific resolution. In this video we look at a length measurement made using a ruler with markings every millimeter.
Depending on what measurement system we use, we can say that any measurement the ruler makes will have a possible error of +/- 0.5 mm.
This is because any length between 4.5 mm and 5.5 mm (for example) would be rounded to a measured length of 5 mm.
So from this, we can see that the percentage (or fractional) error in this measurement is (0.5/5)*100 = 10%, which is quite large. In other words, a half millimeter error either way can have quite an impact on a 5 mm measurement.
However for a much larger measurement, say 50 mm, we can see the fractional error is much smaller - only 1%. This means that the range in which our measured length could actually fall is a much smaller proportion of the actual measured length, even though the absolute error is still the same at 0.5 mm.
Therefore, for a given device with a given resolution, try to make longer measurements if possible. This isn't so useful for measuring lengths, but certainly comes in handy in other scenarios.
For example, when measuring the period of oscillation of a pendulum, we can choose to make a single time measurement for many oscillations and then divide that measured quantity by the total number of oscillations. Since the number of oscillations is an integer without any error, the final fractional error in the period measurement is much smaller than if we just measured the time taken for one oscillation.
Thanks so much for watching - please do check out my socials here:
Instagram - @parthvlogs
Patreon - patreon.com/parthg
Music Chanel - Parth G's Shenanigans
Merch - https://parth-gs-merch-stand.creator-spring.com/
Many of you have asked about the stuff I use to make my videos, so I'm posting some affiliate links here! I make a small commission if you make a purchase through these links.
A Quantum Physics Book I Enjoy: https://amzn.to/3sxLlgL
My Camera (Sony A6400): https://amzn.to/2SjZzWq
ND Filter: https://amzn.to/3qoGwHk
Microphone and Stand (Fifine): https://amzn.to/2OwyWvt
Gorillapod Tripod: https://amzn.to/3wQ0L2Q
