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In a forced oscillation, the driving frequency is 2 Hz and the natural frequency

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Question: In a forced oscillation, the driving frequency is 2 Hz and the natural frequency of the system is 1.5 Hz. What is the ratio of the driving frequency to the natural frequency?

Options:

  1. 0.5
  2. 1
  3. 1.33
  4. 2

Correct Answer: 1.33

Solution: 

Ratio = driving frequency / natural frequency = 2 / 1.5 = 1.33

In a forced oscillation, the driving frequency is 2 Hz and the natural frequency

Practice Questions

Q1
In a forced oscillation, the driving frequency is 2 Hz and the natural frequency of the system is 1.5 Hz. What is the ratio of the driving frequency to the natural frequency?
  1. 0.5
  2. 1
  3. 1.33
  4. 2

Questions & Step-by-Step Solutions

In a forced oscillation, the driving frequency is 2 Hz and the natural frequency of the system is 1.5 Hz. What is the ratio of the driving frequency to the natural frequency?
  • Step 1: Identify the driving frequency, which is given as 2 Hz.
  • Step 2: Identify the natural frequency, which is given as 1.5 Hz.
  • Step 3: Write down the formula for the ratio: Ratio = driving frequency / natural frequency.
  • Step 4: Substitute the values into the formula: Ratio = 2 Hz / 1.5 Hz.
  • Step 5: Perform the division: 2 divided by 1.5 equals approximately 1.33.
  • Step 6: State the final result: The ratio of the driving frequency to the natural frequency is 1.33.
  • Forced Oscillation – A type of oscillation where an external force drives the system at a specific frequency.
  • Natural Frequency – The frequency at which a system tends to oscillate in the absence of any driving force.
  • Frequency Ratio – The comparison of two frequencies, in this case, the driving frequency to the natural frequency.
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