REARRANGE THE FORMULA TO MAKE G THE SUBJECT!!?

Question

The length of time, T seconds, that the pendulum in the clock takes to swing is given by the formula

T = 6/ √(1 + g²)

Rearrange the formula to make g the subject.

Answer is: √((6/T)² - 1)  (OR)  √(36/T² - 1)

but I need a step by step answer on how i solved the Q.
Thanks!

peabody · Accepted Answer

T = 6/ √(1 + g²)
Square both sides
t^2 = 36 / (1+g^2)
1 +g^2 = 36/T^2
    g^2 = ( 36/T^2 -1)
     g = ( 36/T^2 -1)^1/2 or  √(36/T² - 1)

L. E. Gant · Answer

T = 6/√(1 + g²)
==> T^2 = 36/(1 + g²)
==> (1 + g²)= 36/T^2
==> g^2 = 36/T^2 - 1
==> g = +/- √((36/T^2 -1)

taisho_tentei · Answer

T = 6 / sqrt ( 1 + g^2)
T^2 = 36 / (1 + g^2)  //Divide by T^2 and multiply by (1 + g^2)
1 + g^2 = 36 / T^2
g^2 = 36/T^2 - 1
g = sqrt ( 36T^2 - 1)

? · Answer

T = 6/sqrt(1 + g^2)

sqrt(1 + g^2) = 6/T

(sqrt(1 + g^2))^2 = (6/T)^2

1 + g^2 = 36/T^2

g^2 = 36/T^2 - 1

g1 = + sqrt(36/T^2 - 1)

g2 = - sqrt(36/T^2 - 1)

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REARRANGE THE FORMULA TO MAKE G THE SUBJECT!!?

4 Answers