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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 of the system?
  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 of the system?
  • Step 1: Identify the frequency (f) of the mass-spring system. In this case, f = 3 Hz.
  • Step 2: Use the formula for angular frequency (ω), which is ω = 2πf.
  • Step 3: Substitute the value of f into the formula: ω = 2π(3).
  • Step 4: Calculate the result: ω = 6π.
  • Step 5: Use the approximate value of π (about 3.14) to find ω in radians per second: ω ≈ 6 * 3.14 = 18.84 rad/s.
  • Step 6: However, the exact answer in terms of π is 6 rad/s.
  • Frequency and Angular Frequency – Understanding the relationship between frequency (f) and angular frequency (ω) in oscillatory motion, where ω = 2πf.
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