Question

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?

Answer 1

1/4

Step-by-step 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.