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A mass-spring system oscillates with a frequency of 2 Hz. What is the angular fr

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Question: A mass-spring system oscillates with a frequency of 2 Hz. What is the angular frequency?

Options:

  1. 4π rad/s
  2. 2π rad/s
  3. π rad/s
  4. 8π rad/s

Correct Answer: 4π rad/s

Solution: 

The angular frequency ω is related to the frequency f by the formula ω = 2πf. Therefore, ω = 2π × 2 = 4π rad/s.

A mass-spring system oscillates with a frequency of 2 Hz. What is the angular fr

Practice Questions

Q1
A mass-spring system oscillates with a frequency of 2 Hz. What is the angular frequency?
  1. 4π rad/s
  2. 2π rad/s
  3. π rad/s
  4. 8π rad/s

Questions & Step-by-Step Solutions

A mass-spring system oscillates with a frequency of 2 Hz. What is the angular frequency?
  • Step 1: Understand that frequency (f) is given as 2 Hz.
  • Step 2: Know the formula that relates angular frequency (ω) to frequency (f): ω = 2πf.
  • Step 3: Substitute the value of frequency into the formula: ω = 2π × 2.
  • Step 4: Calculate the result: ω = 4π rad/s.
  • Frequency and Angular Frequency – Understanding the relationship between frequency (f) and angular frequency (ω) in oscillatory motion.
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