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  1. We can use the formulas presented in this module to determine both the frequency based on known oscillations and the oscillation based on a known frequency. Let’s try one example of each. A medical imaging device produces ultrasound by oscillating with a period of 0.400 µs.

  2. 12 Μαρ 2024 · Understand the relationship between the frequency and the period of oscillations. Determine the frequency of oscillations.

  3. The angular frequency \(\omega\), period T, and frequency f of a simple harmonic oscillator are given by \(\omega = \sqrt{\frac{k}{m}}\), T = 2\(\pi \sqrt{\frac{m}{k}}\), and f = \(\frac{1}{2 \pi} \sqrt{\frac{k}{m}}\), where m is the mass of the system and k is the force constant.

  4. We can use the formulas presented in this module to determine both the frequency based on known oscillations and the oscillation based on a known frequency. Let’s try one example of each. A medical imaging device produces ultrasound by oscillating with a period of 0.400 µs.

  5. Determine the Frequency of Two Oscillations: Medical Ultrasound and the Period of Middle C. We can use the formulas presented in this module to determine both the frequency based on known oscillations and the oscillation based on a known frequency. Let’s try one example of each.

  6. Period and Frequency in Oscillations. In the absence of friction, the time to complete one oscillation remains constant and is called the period (T). Its units are usually seconds, but may be any convenient unit of time.

  7. Learning Objectives. Observe the vibrations of a guitar string. Determine the frequency of oscillations. The strings on this guitar vibrate at regular time intervals. (credit: JAR) When you pluck a guitar string, the resulting sound has a steady tone and lasts a long time.

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