The slow, regular motion of the lamp inspired Galileo to check the measurements for gravity (which he had previously done using the inclined plane) by using the well known formula for the period of a pendulum: t = 2 pi sqrt (L / g) where L is the length of the pendulum. For this experiment, you will need: One day, while attending a Mass in the Duomo di Pisa, Galileo noticed that the lamp above him was swaying slowly. How well do your measurements agree with the accepted value of ~9.78 m/s/s? Why do you think the difference in the times between the two balls exists? (HINT: Think friction!) Measuring gravity with a pendulum Repeat with the steel ball, and compare the results. Where d is the diameter of the ball, t 1 is the time the ball takes to pass through the first gate, t 2 is the time the ball takes to passthrough the second gate and t 12is the time the ball takes to pass between gates.ĥ. Release the ball, and record the times one the board. ![]() Show that the acceleration due to gravity can be found from the difference in velocities, as measured at the two IR sensors. Place the small plastic ball that came with the ball drop apparatus. Point out that (to a first-approximation) the weight of the ball does not affect the rate at which it falls.Ĥ. Release the balls, and note the simultaneous noise of the impact. Hold the balls in one hand, at a height of at least one meter over the table. Have the students predict which ball will hit the ground first, the heavier or the lighter, and record their predictions on the blackboard.ģ. Double-check to make certain that the battery is charged, and that the room is dark enough for the IR sensors to work.Ģ. Set up the Ball Drop apparatus before class. 2 Balls, of roughly the same size, but different weightsġ.To replicate his experiment, you will need: (In actuality, he never dropped anything from the Leaning Tower of Pisa instead, he had them dropped from the crow’s nest at the top of a sailing ship.) Perhaps the most famous of Galileo‘s experiments involved dropping two balls from a great height. Measuring gravity using the ball-drop method ![]() ![]() Measure acceleration of gravity using the period of a pendulum.Understand the limitations of this method.Measure the acceleration of gravity using the ball-drop method.Explain how the acceleration of gravity gives a planet’s mass.
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