Final answer:
The length of the pendulum is approximately 0.622 m.
Step-by-step explanation:
The period (T) of a pendulum is the time it takes for a complete back and forth swing. The period of a pendulum is given by the formula:
T = 2π√(L/g)
Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Rearranging the formula, we can solve for the length of the pendulum:
L = (T/2π)² * g
Substituting the given period (0.500 s) and assuming a standard value for acceleration due to gravity (9.8 m/s²), the length of the pendulum is approximately 0.622 m.