Calculating Percentage Uncertainty in Gradients

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SUMMARY

The discussion focuses on calculating the percentage uncertainty in gradients from two intersecting lines, specifically with gradients of 0.503 and 0.167. The correct formula for percentage uncertainty is derived from the difference between the two gradients divided by the gradient of the line of best fit, followed by multiplying the result by 100%. Thus, the formula is expressed as ((0.503 - 0.167) / 0.503) * 100%. This calculation provides the percentage uncertainty in the gradient.

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  • Understanding of basic calculus concepts, specifically gradients.
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  • Knowledge of linear equations and lines of best fit.
  • Ability to perform arithmetic operations involving fractions and percentages.
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gii
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Hello

I was given following homework question.

2 gradients are given.
gradient1 of the line is 0.503
gradient2 of the line intersecting the line above is 0.167.
Find out the percentage uncertainty in the gradient.

i thought you have to do (0.503-0.167)/0.503
is that right?Please help
thanks in advance
 
Last edited:
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any ideas if I'm right?
 
Welcome to Physics Forums.

gii said:
Hello

I was given following homework question.

2 gradients are given.
gradient1 of the line is 0.503
gradient2 of the line intersecting the line above is 0.167.
Find out the percentage uncertainty in the gradient.

i thought you have to do (0.503-0.167)/0.503
is that right?


Please help
thanks in advance
I don't understand what the problem is asking from your description. Are there two intersecting lines, with gradients 0.503 and 0.167? Are these gradients given, or are you calculating them somehow?
 
Redbelly98 said:
Welcome to Physics Forums.I don't understand what the problem is asking from your description. Are there two intersecting lines, with gradients 0.503 and 0.167? Are these gradients given, or are you calculating them somehow?

yes there are 2 intersecting lines with one line of best fit having the gradient 0.503 and the other line is the worst straight line having the gradient 0.167

the gradients are given
 
Okay, thanks for clarifying.

gii said:
i thought you have to do (0.503-0.167)/0.503
is that right?

Multiply that calculation by 100% (to get a percentage), and then it looks right.
 

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