how to solve this for m?

2015-09-21 2:05 pm
F=1/2pix^2m



I didn't know how to put the pi symbol so I just wrote pi

回答 (4)

2015-09-21 2:15 pm
Learn how to use parenthesis.
2015-09-21 2:16 pm
F = (π/2)x^2 m

You move stuff around (using the usual rules for solving equations) until m is left by itself, on one side.

F = (π/2)x^2 m
multiply both sides by 2
2F = πx^2 m
when x is not equal to zero**, you can divide both sides by x^2

2F/(x^2) = π m
divide both sides by π
(2/π)F/x^2 = m
or
2F / πx^2 = m

If it makes you feel better, you can flip left and right (the equal sign does not care which way you go)

m = 2F / πx^2

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** you cannot find a value for m, when x=0, because 0 times anything is zero

F = (1/2)πx^2 m
if x = 0, then F = 0, regardless of the value of m
0 = 0 m
m can be anything.
You cannot "solve for m" when x=0 (that is why we have to write that little caution when we divide by a variable).

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I just cheated the "lazy" way: I went to the wikipedia page about "pi" and I copied the symbol from that page, then pasted it in my answer.
π
You can also go to wikipedia pages like
https://en.wikipedia.org/wiki/Greek_alphabet
or, for mathematical symbols:
https://en.wikipedia.org/wiki/List_of_mathematical_symbols
where you copy from the first column (HTML)

Most operating systems also allow for "alt" codes, where you press the "Alt" key and - while keeping it pressed - you key in the number code for the character.
However, you have to find out what they are for YOUR system, because they do change from one system to another.
2015-09-21 2:13 pm
F = 1 / (2 pi x^2 m)

Multiply both sides by m
m F = 1 / ( 2 pi x^2)

divide both sides by F
m = 1 / (2F pi x^2)


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