Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.
Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing. It's easy to measure the period using the photogate timer. You can vary friction and the strength of gravity. Use the pendulum to find the value of g on planet X. Notice the anharmonic behavior at large amplitude.
Did you know that you would be a different age if you lived on Mars? It's true! In this activity, you'll learn about the different rotation and revolution periods of each of the planets and calculate your age respectively. Included is an astronomy history lesson and explanation of Kepler's Laws of Orbital Motion. The activity has a calculator built into the web page, but the activity can be made more math intensive by using the given data to calculate the learner's age by hand.