Question

An astronaut on the Moon attaches a small brass ball to a 1.00- m length of string and makes a simple pendulum. She times 15 complete swings in a time of 75.0 seconds. From this measurement she calculates the acceleration due to gravity on the Moon. What is her result?

Answer 1

T =2•π•sqrt(L/g),
T =t/Ná
g = 4• π^2•L•N^2/t^2 =
=4• π^2•1•15^2/75^2 =
=1.58 m/s^2

Answer 2

1345 m/s^2