If you know that the period of a pendulum is 1.87 seconds, what is the length of that pendulum? (Assume that we are on Earth and that gravity is 9.81 meters/second².) Select one of the options below as your answer: A. 0.87 centimeters B. 2.1 meters C. 1.6 meters D. 0.87 meters E. 8.3 meters

Question

Kailee Garza

Physics

5 July, 00:34

If you know that the period of a pendulum is 1.87 seconds, what is the length of that pendulum? (Assume that we are on Earth and that gravity is 9.81 meters/second².) Select one of the options below as your answer: A. 0.87 centimeters B. 2.1 meters C. 1.6 meters D. 0.87 meters E. 8.3 meters

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Answers (1)

Know the Answer?

Cory Herman · Answer 1

Period of an ideal simple pendulum = 2π √ (L / G)

1.87 = 2π √ (L / 9.81)

Divide each side by 2π : (1.87 / 2π) = √ (L / 9.81)

Square each side: (1.87 / 2π) ² = L / 9.81

Multiply each side by 9.81 : L = (9.81) (1.87 / 2π) ² = 0.869 meter

Choice 'D' is the closest one.