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

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

Options:

Correct Answer: 2 s

Exam Year: 2023

Solution:

Time period (T) = 2π√(L/g) = 2π√(1/9.8) ≈ 2 s

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

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.