Or this example problem to calculate the period when the length is known. Other Simple Pendulum Example ProblemsĬheck out another simple pendulum example problem which uses the pendulum period formula to calculate the length when the period is known. Unless you recorded your acceleration units as cm/s 2, the m/s 2 value would be 100 times greater than the correct answer. This problem could have had a measurement for the length at 25 cm. It is also good to keep track of your units. This will result in an answer 3.14 times less than the true answer. During the expirement both the length of the string and the mass of the bob were increased and the resulting time data recorded. A simple pendulum is an easy way to calculate the acceleration due to gravity wherever you find yourself. The pendula are only affected by the period (which is related to the pendulums length) and by the acceleration due to gravity. effects that the length of the string and the mass of the bob have on the pendulum. A common error with this problem is not squaring pi when entering the numbers into a calculator. The aim of the experiment was to determine the value of the acceleration due to gravity by measuring the period of the simple pendulum. This type of problem is easy to work out and easy to make simple errors. To perform a first-hand investigation using simple pendulum motion to determine a value of acceleration due to the Earth’s gravity (g). ![]() Plug in the values for T and L whereĪnswer: The Moon’s acceleration due to gravity is 1.6 m/s 2. This is the equation we need to make our calculation. ![]() He timed the pendulum’s period to be 2.5 seconds. Question: Astronaut Spaceman uses a small mass attached to a 0.25 m length of string to figure out the acceleration due to gravity on the Moon. Swing Low: Investigate the Motion of a Pendulum Science Project Investigate the motion of a simple pendulum and determine how the motion of a pendulum is related to its length. ![]() Calculate Acceleration Due To Gravity Example Problem This worked example problem will show how to manipulate this equation and use the period and length of a simple pendulum to calculate the acceleration due to gravity. Step 2: Substitute the period into the equation for the period of a pendulum solved for acceleration due to gravity. This can be accomplished because the period of a simple pendulum is related to the acceleration due to gravity by the equation A simple pendulum is an easy way to calculate the acceleration due to gravity wherever you find yourself.
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