We can rearrange the formula for the period of a pendulum to solve for the length of the pendulum, L:
T β 2πβπΏπ
Dividing both sides of the equation by 2πβπ gives:
T / (2πβπ) β βπΏ
Now, we can substitute the given values for the period and gravitational constant:
2s / (2πβ(9.8m/sΒ²)) β βπΏ
Simplifying:
1 / (β(9.8π)) β βπΏ
To find the approximate length of the pendulum, we square both sides of the equation:
1 / (β(9.8π))Β² β πΏ
Simplifying further:
1 / (9.8π) β πΏ
Thus, the approximate length of the pendulum is 1 / (9.8π) meters.