Worksheet: Simple Harmonic Motion

In this lesson, we will practice describing simple harmonic motion quantitatively and defining its parameters such as amplitude, frequency, and phase.


Reciprocating motion uses the rotation of a motor to produce linear motion back and forth, as in the operation of the reciprocating saw shown in the diagram. If the motor rotates at 84 Hz and has a radius of 1.9 cm, find the maximum speed of the saw blade during its back and forth motion.


A tire has a tread pattern in which a crevice occurs every 3.50 cm along the tire’s circumference. Each crevice makes a single vibration as the tire moves. What is the frequency of these vibrations if the car moves at a speed of 41.0 m/s?


What is the period of 73.0 Hz electrical power source?


Find the frequency of a tuning fork that takes 3.04Γ—10 s to complete one oscillation.


How is the frequency 𝑓 of an oscillation related to the oscillation’s period 𝑇?

  • A𝑓=(𝑇)sin
  • B𝑓=π‘˜π‘‡
  • C𝑓=βˆšπ‘‡
  • D𝑓=βˆ’π‘‡
  • E𝑓=1𝑇


A radio station broadcasts at 89.2 MHz. What is the duration of one cycle of the primary oscillation?

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