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Physics Homework Help?

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How long must a simple pendulum be if it is to make exactly one swing per second? (That is, one complete oscillation takes exactly 2.0 seconds.)

asked Nov 7, 2015 in PHYSICS by anonymous

1 Answer

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The simple pendulum makes exactly one swing per second.

One complete oscillation takes image.

Therefore, the time period is image.

Find the length of the pendulum.

The time period of the simple pendulum is image, where image is the length of the pendulum and image is acceleration due to gravity.

Substitute image and image in image.

image

image

image

image

image

image

image.

The length of the pendulum is image.

answered Nov 7, 2015 by Sammi Mentor

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