SOLUTION: Hi, I need some help on one of my questions. I need to make g the subject... T = 2(pie)*[square root of l/g^3} Can someone please help me......

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


   

Question 149738: Hi, I need some help on one of my questions. I need to make g the subject...
T = 2(pie)*[square root of l/g^3}
Can someone please help me......
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean you need to solve for g? If so,
T+=+2%2Api%2Asqrt%281%2Fg%5E3%29
First, square both sides
T%5E2+=+4%2A%28pi%29%5E2%2A%281%2Fg%5E3%29
Now multiply both sides by g%5E3
T%5E2%2A%28g%5E3%29+=+4%2A%28pi%29%5E2
Now divide both sides by T%5E2
g%5E3+=+%282%2Api%29%5E2+%2F+T%5E2
Notice that 4%2A%28pi%29%5E2 = %282%2Api%29%5E2
Now take the cube root of both sides
g+=+%282%2Api+%2F+T%29%5E%282%2F3%29 answer
I did 2 things in this last step:
I said %282%2Api%29%5E2+%2F+T%5E2+=+%282%2Api+%2F+T%29%5E2
and I then took the 1%2F3 root of this
Hope I got it right