(Originais Teachy 2023) - Question Hard of Physics

An astronomy club in your school decides to measure the Earth's rotation speed. To do this, they set up a simple pendulum on the school playground and measure its period. The length of the pendulum string is 1 meter, and they find that the period of the pendulum is 2 seconds. The Earth's gravitational acceleration is 9.8 m/s². They know that the formula for the period of a simple pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the gravitational acceleration. The students also know that the Earth completes one full rotation every 24 hours. Using this information, calculate the Earth's rotation speed in kilometers per hour. Remember, the circumference of the Earth is approximately 40,075 kilometers.