A pendulum swings with a period of 2 seconds. What is the frequency of the pendu

Practice Questions

Q1
A pendulum swings with a period of 2 seconds. What is the frequency of the pendulum?
  1. 0.25 Hz
  2. 0.5 Hz
  3. 1 Hz
  4. 2 Hz

Questions & Step-by-Step Solutions

A pendulum swings with a period of 2 seconds. What is the frequency of the pendulum?
  • Step 1: Understand that the period (T) is the time it takes for one complete swing of the pendulum. In this case, the period is given as 2 seconds.
  • Step 2: Know that frequency (f) is how many times the pendulum swings in one second. It is the reciprocal of the period.
  • Step 3: Use the formula for frequency: f = 1/T.
  • Step 4: Substitute the period into the formula: f = 1/2.
  • Step 5: Calculate the frequency: f = 0.5 Hz.
  • Frequency and Period Relationship – Frequency is the number of cycles per second, and it is the reciprocal of the period, which is the time taken for one complete cycle.
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