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A mass-spring system oscillates with a frequency of 3 Hz. What is the angular fr

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Question: A mass-spring system oscillates with a frequency of 3 Hz. What is the angular frequency?

Options:

  1. 3 rad/s
  2. 6 rad/s
  3. 9 rad/s
  4. 12 rad/s

Correct Answer: 6 rad/s

Solution: 

Angular frequency (ω) is given by ω = 2πf. Thus, ω = 2π * 3 ≈ 6 rad/s.

A mass-spring system oscillates with a frequency of 3 Hz. What is the angular fr

Practice Questions

Q1
A mass-spring system oscillates with a frequency of 3 Hz. What is the angular frequency?
  1. 3 rad/s
  2. 6 rad/s
  3. 9 rad/s
  4. 12 rad/s

Questions & Step-by-Step Solutions

A mass-spring system oscillates with a frequency of 3 Hz. What is the angular frequency?
Correct Answer: 6 rad/s
  • Step 1: Identify the frequency (f) given in the problem. Here, f = 3 Hz.
  • Step 2: Recall the formula for angular frequency (ω), which is ω = 2πf.
  • Step 3: Substitute the value of frequency into the formula: ω = 2π * 3.
  • Step 4: Calculate the value: ω = 6π.
  • Step 5: Use the approximate value of π (about 3.14) to find ω: ω ≈ 6 * 3.14.
  • Step 6: Calculate the final result: ω ≈ 18.84 rad/s.
  • Frequency and Angular Frequency – Understanding the relationship between frequency (f) and angular frequency (ω) in oscillatory motion.
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