SOLUTION: Simplify T=2(pi) Square root L/g Find g if T=1.26, L=37.1 I have searched text and cant find a system HELP???

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify T=2(pi) Square root L/g Find g if T=1.26, L=37.1 I have searched text and cant find a system HELP???      Log On


   

Question 7334: Simplify
T=2(pi) Square root L/g Find g if T=1.26, L=37.1
I have searched text and cant find a system HELP???
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming you meant this: T=2%2A%28pi%29+sqrt%28L%2Fg%29, then we can re-arrange to

T%2F%282%2Api%29+=+sqrt%28L%2Fg%29 or...
sqrt%28L%2Fg%29+=+T%2F%282%2Api%29 --> square both sides to give
L%2Fg+=+T%5E2%2F%284%2A%28pi%29%5E2%29

ok, now move g up to the other side, move the T%5E2 term to other side and also the 4%2A%28pi%29%5E2 term too, so you have:

%284L%2A%28pi%29%5E2%29%2FT%5E2+=+g

OK, so now put the values in:

g+=+%284L%2A%28pi%29%5E2%29%2FT%5E2
g+=+%284%2A37.1%2A%28pi%29%5E2%29%2F%281.26%29%5E2
g+=+%28148.4%2A%28pi%29%5E2%29%2F1.5876

so g = 922.5556 to 4dp (or 7 sf)

OK?

jon.