What is the period of a pendulum that is 1 meter long?

Practice Questions

Q1
What is the period of a pendulum that is 1 meter long?
  1. 1 s
  2. 2 s
  3. 0.5 s
  4. 3 s

Questions & Step-by-Step Solutions

What is the period of a pendulum that is 1 meter long?
  • Step 1: Understand the formula for the period of a pendulum, which is T = 2π√(L/g).
  • Step 2: Identify the length of the pendulum (L). In this case, L = 1 meter.
  • Step 3: Know the value of g, which is the acceleration due to gravity. It is approximately 9.8 m/s².
  • Step 4: Substitute the values into the formula: T = 2π√(1/9.8).
  • Step 5: Calculate the value inside the square root: 1/9.8 ≈ 0.10204.
  • Step 6: Find the square root of 0.10204, which is approximately 0.319.
  • Step 7: Multiply this value by 2π (approximately 6.283): T ≈ 6.283 * 0.319.
  • Step 8: Calculate the final result: T ≈ 2 seconds.
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