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05-09-2019
Physics

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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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MathPhys MathPhys

05-09-2019

Answer:

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.

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