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A mass-spring system oscillates with a frequency of 5 Hz. What is the angular fr

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Question: A mass-spring system oscillates with a frequency of 5 Hz. What is the angular frequency? (2021)

Options:

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

Correct Answer: 10π rad/s

Solution:

Angular frequency ω = 2πf = 2π × 5 Hz = 10π rad/s.

A mass-spring system oscillates with a frequency of 5 Hz. What is the angular fr

Practice Questions

Q1
A mass-spring system oscillates with a frequency of 5 Hz. What is the angular frequency? (2021)
  1. 10π rad/s
  2. 5π rad/s
  3. 2π rad/s
  4. 20π rad/s

Questions & Step-by-Step Solutions

A mass-spring system oscillates with a frequency of 5 Hz. What is the angular frequency? (2021)
  • Step 1: Understand that frequency (f) is given as 5 Hz.
  • Step 2: Know that angular frequency (ω) can be calculated using the formula ω = 2πf.
  • Step 3: Substitute the value of frequency into the formula: ω = 2π × 5 Hz.
  • Step 4: Calculate the result: ω = 10π rad/s.
  • Frequency and Angular Frequency – Frequency (f) is the number of oscillations per second, while angular frequency (ω) relates to how quickly the system oscillates in radians per second, calculated as ω = 2πf.
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