Mathematics: T=2πlg⎯⎯⎯√. this is the formula for the period t of a pendulum of length l. solve this formula for l.

T=2πlg⎯⎯⎯√. this is the formula for the period

CadenSkinner2003

12.03.2022

By definition, the formula of the period of a pendulum is given by:

$T = 2\pi\sqrt {\frac{l}{g}}$

From here, we must clear the value of l.

We have then:

$\frac{T}{2\pi} = \sqrt {\frac{l}{g}}$

Raising both members to the square we have:

$\frac{T ^ 2}{4 \pi^2} = \frac{l}{g}$

Then, passing gravity to multiply, we have:

$l = \frac{gT^2}{4\pi^2}$

When clearing we have:

$l = \frac{gT ^ 2}{4\pi^2}$

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MariaIZweird9631

15.12.2022

34×44=1,496hrs

24000÷1496=16.04 p/h

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