SOLUTION: 3rd time lucky maybe I need some help on one of my questions. I need to make g the subject... T = 2(pi)*[square root of (l/g^3)} Can someone please help me......: and it

Algebra ->  Square-cubic-other-roots -> SOLUTION: 3rd time lucky maybe I need some help on one of my questions. I need to make g the subject... T = 2(pi)*[square root of (l/g^3)} Can someone please help me......: and it      Log On


   

Question 149754: 3rd time lucky maybe
I need some help on one of my questions. I need to make g the subject...
T = 2(pi)*[square root of (l/g^3)}
Can someone please help me......: and its the letter L not the number 1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
T+=+2pi%2Asqrt%28L%2Fg%5E3%29+ Start with the given equation.


T%2F%282pi%29+=+sqrt%28L%2Fg%5E3%29+ Divide both sides by 2pi.


%28T%2F%282pi%29%29%5E2+=+L%2Fg%5E3+ Square both sides. This will eliminate the square root.


g%5E3%28T%2F%282pi%29%29%5E2+=+L Multiply both sides by g%5E3.


g%5E3%28T%5E2%2F%282pi%29%5E2%29+=+L+ Distribute the outer exponent.


g%5E3%28T%5E2%2F%284pi%5E2%29%29+=+L+ Square 2pi to get %282pi%29%5E2=%282pi%29%282pi%29=4pi%5E2.


g%5E3%28T%5E2%29+=+L%284pi%5E2%29+ Multiply both sides by 4pi%5E2.


g%5E3+=+L%284pi%5E2%29%2F%28T%5E2%29+ Divide both sides by T%5E2.


g+=+root%283%2CL%284pi%5E2%29%2F%28T%5E2%29%29+ Take the cube root of both sides.