Understanding Phase in Periodic Motion

Understanding Phase in Periodic Motion

Learning Objectives

At the end of the lesson, you will be able to define the phase of a periodic motion. At the end of the lesson, you will understand the relationship between phase, time, and period in periodic motion. At the end of the lesson, you will be able to calculate the phase of a periodic motion given the time elapsed and the period of the motion.

What do you already know about the phase of a periodic motion?

Definition of phase in periodic motion

Phase (q): The number of complete oscillations since the equilibrium point was passed in the positive direction.

The relationship between phase, time, and period

Time (t): The elapsed time since the phase was zero, measured in seconds. Period (T): The duration of one complete oscillation of the motion, measured in seconds.

Calculating phase from time and period

The phase is directly proportional to the elapsed time and is calculated using the period of the motion.

Units of measurement for phase, time, and period

The phase has no unit since time and period are measured in the same units.

Wrap Up

Review of learning objectives and key concepts.

Definition List

Phase (q): The number of complete oscillations since the equilibrium point was passed in the positive direction. Time (t): The elapsed time since the phase was zero, measured in seconds. Period (T): The duration of one complete oscillation of the motion, measured in seconds. Equilibrium: The point in periodic motion where the moving object is at rest and the forces are balanced.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.