if T=2π√(l/g)

Question

L=100±0.1cm (s.e)
T=2.01±0.001 sec (s.e)
calculate the value of g

Answer 1

T=2π√(l/g)
L/g = T^2/(4 pi^2)
g = 4 pi^2 L /T^2
mean g = 4 pi^2 (100)/(2.01^2) = 978.5 cm/s^2 = 9.785 m/s^2
big g = 4 pi^2 (100.1) / (2.009)^2 = 979.1 cm/s^2
big g - mean g = 0.6 cm/s^2
978.5 +/- 0.6 cm/s^2