Pendula and Periods of Oscillation
What is the relationship between length, mass, and period of a simple pendulum?
Try this
Using the Proximeter tool, measure the period of a simple pendulum constructed from a suspended string attached firmly to the mobile device. Use a meter stick to determine the relationship between pendulum length and period (if any). Use a balance to determine the relationship between the pendulum mass and period (if any).
Challenge yourself
- Create a graph of Period vs. Mass, and derive a mathematical expression for this relationship.
- Create a graph of Period vs. Length, and derive a mathematical expression for this relationship.
- If there are any constants in these mathematical expressions, explain their significance.
- Does the angle of release have any impact on the pendulum? Explain how you know.