By what factor would you need to adjust the length of a pendulum to make the period of 1/2 of what it used to be?

Question

Alani

Physics

7 May, 00:06

By what factor would you need to adjust the length of a pendulum to make the period of 1/2 of what it used to be?

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Answers (1)

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Amy Terrell · Answer 1

1/4

Explanation:

The period of a simple pendulum is:

T = 2π √ (L/g)

At half the period:

T/2

= π √ (L/g)

= 2π √ (L / (4g))

= 2π √ ((L/4) / g)

So the length would have to be shortened by a factor of 1/4.