Oscillations are repeating motions around an equilibrium point. Two key properties describe oscillations: period and frequency. The period ($T$) is the time it takes for one complete oscillation, usually measured in seconds. The frequency ($f$) is the number of oscillations per unit of time, commonly measured in Hertz (Hz), where 1 Hz equals one oscillation per second. These two are inversely related: $f = \frac{1}{T}$ and $T = \frac{1}{f}$. Understanding this relationship is crucial for solving problems involving oscillations.
Match the term with the correct definition:
| Term | Definition |
|---|---|
| 1. Period | A. Number of oscillations per unit time. |
| 2. Frequency | B. The maximum displacement from equilibrium. |
| 3. Amplitude | C. A restoring force directly proportional to displacement. |
| 4. Simple Harmonic Motion | D. Time for one complete oscillation. |
| 5. Hertz | E. Unit of frequency (oscillations per second). |
Match the numbers and letters!
Complete the following paragraph using the words: period, frequency, oscillations, inverse, Hertz.
The number of ________ per second is called the ________, measured in ________. The time for one complete oscillation is called the ________. Frequency and period have an ________ relationship; as one increases, the other decreases.
A pendulum swings with a period of 2 seconds. If you shorten the string of the pendulum, how would this affect its period and frequency? Explain your reasoning.
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