When a pendulum with a period of 2.00000 s in one location (g = 9.80 m/s2) is moved to a new location from one where the period is now 1.99863 s. what is the change in acceleration (in m/s2) due to gravity at its new location?

The period of a pendulum is given by:

where L is the pendulum length and g is the gravitational acceleration.

Initially, the period of the pendulum is T=2.00 s while the gravitational acceleration is . If we re-arrange the previous equation, we can find the pendulum length:


Then the same pendulum is moved to another location, and its new period is
. Again, by re-arranging the same equation, we can find the value of g (gravitational acceleration) at the new location: