Final answer:
The period of a 1.5-meter long pendulum is calculated using the formula T = 2π√(L/g), and it is found to be approximately 2.45 seconds, assuming small amplitude oscillations and standard Earth gravity.
Step-by-step explanation:
To determine the period of a pendulum, we use 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, which is approximately 9.81 m/s2 on Earth's surface. For a pendulum that is 1.5 meters long, we can plug the values into the formula like so:
T = 2π√(1.5/9.81)
After doing the calculations, we find that the period of a 1.5-meter long pendulum is approximately 2.45 seconds. It's important to note that this formula is a good approximation for small angles, typically less than 15 degrees, which is usually the case in simple pendulum motion in a classroom or laboratory setting.