29. A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?
The time period of a pendulum, a body fixed to a pivot by means of a string, is given by the time it takes to complete a single cycle from right to left or left to right
The formula is given as :
⇒ T = 2π√(L/g) [← Important]
L represents the length of the string and g is the value of gravity due to acceleration
Original Time Period [To calculate length of the string]
T = 2π√(L/g)
2 = 2π√(L/9.8)
L = 9.8/π²
L = 0.99646 m[← Keep in mind, we'll need it later!]
