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.