Question

question 8 of 15, step 1 of 1
6/15
correct
t = 2π√(l/g). this is the formula for the period t of a pendulum of length l. solve this formula for g.
answer

Explanation:

Step1: Square both sides

$T^{2}=(2\pi\sqrt{\frac{l}{g}})^2 = 4\pi^{2}\frac{l}{g}$

Step2: Cross - multiply

$T^{2}g = 4\pi^{2}l$

Step3: Solve for g

$g=\frac{4\pi^{2}l}{T^{2}}$

Answer:

$g=\frac{4\pi^{2}l}{T^{2}}$