Calculating Percentage Uncertainty in Gradients

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To calculate the percentage uncertainty in the gradient between two intersecting lines with gradients of 0.503 and 0.167, the correct formula is (0.503 - 0.167) / 0.503. This calculation gives the difference in gradients relative to the first gradient. To express this as a percentage, multiply the result by 100%. The approach discussed confirms that the initial calculation is correct.
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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
 
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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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