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An MYP student was always fascinated by the motion of a pendulum clock. So, she decided to conduct an experiment to determine the reason behind the fixed time period of its motion. For this, she created a simple pendulum using a string of particular length and tied a bob to the bottom of it. Initially she wanted to test whether there is any relation between the length of the pendulum and the time period and kept a stopwatch with her to measure the time.

Question

An MYP student was always fascinated by the motion of a pendulum clock. So, she decided to conduct an experiment to determine the reason behind the fixed time period of its motion. For this, she created a simple pendulum using a string of particular length and tied a bob to the bottom of it. Initially she wanted to test whether there is any relation between the length of the pendulum and the time period and kept a stopwatch with her to measure the time.

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Solution

Sure, I can help with that. Here's a step-by-step guide on how the student can conduct the experiment:

Step 1: Set up the Pendulum The student should first set up the pendulum. This can be done by attaching a bob (a small weight) to one end of a string. The other end of the string should be fixed to a point so that the bob can swing freely.

Step 2: Measure the Length of the Pendulum Next, the student should measure the length of the pendulum. This is the distance from the fixed point to the center of the bob.

Step 3: Displace the Bob The student should then displace the bob slightly to one side and let it swing. This starts the pendulum's motion.

Step 4: Start the Stopwatch As soon as the bob is released, the student should start the stopwatch.

Step 5: Count the Oscillations The student should count the number of times the bob swings back and forth. One complete swing (from one side, to the other, and back again) is called an oscillation.

Step 6: Stop the Stopwatch After a certain number of oscillations (for example, 10 or 20), the student should stop the stopwatch.

Step 7: Calculate the Time Period The time period of the pendulum is the total time recorded on the stopwatch divided by the number of oscillations.

Step 8: Repeat the Experiment The student should repeat the experiment with pendulums of different lengths and record the time period for each.

Step 9: Analyze the Results Finally, the student should analyze the results to see if there is a relationship between the length of the pendulum and its time period. According to the theory, the time period of a simple pendulum is proportional to the square root of its length.

Remember, the accuracy of the results will depend on several factors, including the precision of the stopwatch, the exactness of the length measurements, and the assumption that the pendulum behaves as a simple pendulum (which is an idealization).

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