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A simple pendulum has a length of 1 m. What is its time period? (2023)
A simple pendulum has a length of 1 m. What is its time period? (2023)
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Q1
A simple pendulum has a length of 1 m. What is its time period? (2023)
1.0 s
2.0 s
0.5 s
0.25 s
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The time period T of a simple pendulum is given by T = 2π√(L/g). For L = 1 m and g = 9.8 m/s², T = 2π√(1/9.8) ≈ 2.0 s.
Questions & Step-by-step Solutions
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Q
Q: A simple pendulum has a length of 1 m. What is its time period? (2023)
Solution:
The time period T of a simple pendulum is given by T = 2π√(L/g). For L = 1 m and g = 9.8 m/s², T = 2π√(1/9.8) ≈ 2.0 s.
Steps: 7
Show Steps
Step 1: Identify the formula for the time period T of a simple pendulum, which is T = 2π√(L/g).
Step 2: Determine the length L of the pendulum. In this case, L = 1 m.
Step 3: Identify the acceleration due to gravity g. The standard value is g = 9.8 m/s².
Step 4: Substitute the values of L and g 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 result by 2π (approximately 6.283): T ≈ 6.283 * 0.319 ≈ 2.0 s.
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