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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)
2 s
1 s
0.5 s
0.25 s
Questions & Step-by-Step Solutions
A pendulum has a length of 1 m. What is its time period? (2023)
Steps
Concepts
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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