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samsquaunch
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I need to rearrange this equation to solve for b but I can not get it worked out to where my units end up being correct.
(a-b)=(F*b)/(A*E)
(a-b)=(F*b)/(A*E)
Can you retype it with units? Where's your difficulty?samsquaunch said:I need to rearrange this equation to solve for b but I can not get it worked out to where my units end up being correct.
(a-b)=(F*b)/(A*E)
##unit(b) = \frac{unit(AEa)}{unit(F+AE)}= \frac{unit(A)unit(E)unit(a)}{unit(F)+unit(A)unit(E)}= \frac{mm^2 \cdot \frac{N}{mm^2} \cdot mm}{N + mm^2 \cdot \frac{N}{mm^2}} = \frac{N \cdot mm}{N} = mm##samsquaunch said:I end up with b=(AEa)/(F+AE) but A=mm^2 E=N/mm^2 a=mm F=N and b needs to be mm but I am left with the N from F with nothing to cancel it out.
What do you mean by "cancel each other out"? ##unit (A\cdot E) = unit(A) \cdot unit (E) = mm^2 \cdot \frac{N}{mm^2} = N##.samsquaunch said:I don't understand why the N is still on top. Doesn't A and E both cancel each other out so that all that remains is F and a?
Rearranging an equation involves isolating a specific variable on one side of the equation. This can be done by using algebraic operations such as addition, subtraction, multiplication, and division to move terms from one side of the equation to the other.
Rearranging an equation allows you to solve for a specific variable or manipulate the equation to better understand its relationship between different variables. It also helps in solving complex problems and making predictions.
The steps for rearranging an equation are:
Some common mistakes when rearranging an equation include:
You can check if you have correctly rearranged an equation by plugging your solution back into the original equation and seeing if it satisfies the equation. You can also double check your work by using a calculator or asking a friend or teacher to review your solution.