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The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)?
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The period of a simple pendulum is found to be increased by 50% when t...
Explanation:
Given:
- Increase in period = 50%
- Increase in length = 0.6m
Let's assume:
- Initial length of the pendulum = L
- Initial period of the pendulum = T
- Increase in period = ∆T
Using the formula for the period of a simple pendulum:
T = 2π√(L/g)
Calculating the new period after the increase in length:
- New length = L + 0.6
- New period = 2π√((L + 0.6)/g)
Given that the period is increased by 50%:
∆T = 0.5T
Substitute the formulas for T and ∆T into the given condition:
0.5T = 2π√((L + 0.6)/g) - 2π√(L/g)
Solve for the initial length of the pendulum:
- Substitute T = 2π√(L/g) into the equation above
- Simplify the equation and solve for L
- The initial length of the pendulum will be the value of L obtained
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The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)?
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The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)?.
The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The period of a simple pendulum is found to be increased by 50% when the length of the pendulum is increased by 0.6m. the initial length is (in meter)?.
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