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A mass-spring system oscillates with a frequency of 1 Hz. What is the angular fr

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Question: A mass-spring system oscillates with a frequency of 1 Hz. What is the angular frequency? (2023)

Options:

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

Correct Answer: 2π rad/s

Exam Year: 2023

Solution: 

Angular frequency ω is related to frequency f by ω = 2πf. Therefore, for f = 1 Hz, ω = 2π(1) = 2π rad/s.

A mass-spring system oscillates with a frequency of 1 Hz. What is the angular fr

Practice Questions

Q1
A mass-spring system oscillates with a frequency of 1 Hz. What is the angular frequency? (2023)
  1. 2π rad/s
  2. π rad/s
  3. 1 rad/s
  4. 4π rad/s

Questions & Step-by-Step Solutions

A mass-spring system oscillates with a frequency of 1 Hz. What is the angular frequency? (2023)
  • Step 1: Understand that frequency (f) is how many times something happens in one second. In this case, the frequency is given as 1 Hz.
  • Step 2: Know that angular frequency (ω) is a way to measure how fast something is oscillating in radians per second.
  • Step 3: Use the formula that relates angular frequency to frequency: ω = 2πf.
  • Step 4: Substitute the given frequency (f = 1 Hz) into the formula: ω = 2π(1).
  • Step 5: Calculate the result: ω = 2π rad/s.
  • Frequency and Angular Frequency – Understanding the relationship between frequency (f) and angular frequency (ω) in oscillatory motion, specifically the formula ω = 2πf.
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