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The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequ

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Question: The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequency? (2020)

Options:

  1. 10 rad/s
  2. 5 rad/s
  3. 15 rad/s
  4. 20 rad/s

Correct Answer: 10 rad/s

Exam Year: 2020

Solution: 

Angular frequency (ω) = 2πf = 2π × 5 = 10 rad/s

The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequ

Practice Questions

Q1
The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequency? (2020)
  1. 10 rad/s
  2. 5 rad/s
  3. 15 rad/s
  4. 20 rad/s

Questions & Step-by-Step Solutions

The frequency of a simple harmonic oscillator is 5 Hz. What is its angular frequency? (2020)
  • Step 1: Understand that frequency (f) is given as 5 Hz.
  • Step 2: Know the formula to find angular frequency (ω), which is ω = 2πf.
  • Step 3: Substitute the value of frequency into the formula: ω = 2π × 5.
  • Step 4: Calculate the value: 2π × 5 = 10 rad/s.
  • Step 5: Conclude that the angular frequency is 10 rad/s.
  • Frequency and Angular Frequency – The relationship between frequency (f) and angular frequency (ω) in simple harmonic motion, where ω = 2πf.
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