# Proportional Reasoning

#### crownedhues

Homework Statement
The question is asking what would happen to T if I double L. The answer has to be in words (i.e: “T is cut in half”)
Homework Equations
T = 2𝝅√L/g
I already tried plugging in values I saw from example problems and tried to find the correlation between the two solutions I would get, but thus far haven’t been able to find any. Maybe I’m overcomplicating this or looking at this the wrong way?

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#### berkeman

Mentor
If L=1, what is √L ?

#### Emmo Amaranth

Replace L with 2L and compare the result to your original equation. Then find a way to express the mathematical relationship between those values in words.

Don’t overthink it.

#### berkeman

Mentor
Oh sorry, I apologize. It's been a long day. Let me rephrase...

If L=2, what is √L ?

And the suggestion by @Emmo Amaranth is equivalent to my corrected question, BTW.

#### crownedhues

Oh sorry, I apologize. It's been a long day. Let me rephrase...

If L=2, what is √L ?

And the suggestion by @Emmo Amaranth is equivalent to my corrected question, BTW.
no worries, that’s understandable! i think i’m catching your drift. thank you for your quick response and your help

#### crownedhues

Replace L with 2L and compare the result to your original equation. Then find a way to express the mathematical relationship between those values in words.

Don’t overthink it.
thank you!!

#### Emmo Amaranth

You're quite welcome! Glad to help.

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