A pendulum has a length of 1 m. What is its time period? (2023)

Practice Questions

Q1
A pendulum has a length of 1 m. What is its time period? (2023)
  1. 2 s
  2. 1 s
  3. 0.5 s
  4. 0.25 s

Questions & Step-by-Step Solutions

A pendulum has a length of 1 m. What is its time period? (2023)
  • Step 1: Identify the formula for the time period (T) of a pendulum, which is T = 2π√(L/g).
  • Step 2: Determine the length (L) of the pendulum, which is given as 1 meter.
  • Step 3: Identify the acceleration due to gravity (g), which 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 by 2π (approximately 6.283): T ≈ 6.283 * 0.319 ≈ 2.0.
  • Step 8: Round the result to get the final time period, which is approximately 2 seconds.
  • Pendulum Motion – The time period of a simple pendulum is determined by its length and the acceleration due to gravity.
  • Formula Application – Understanding how to apply the formula T = 2π√(L/g) correctly.
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