Can Someone Explain Proportional Reasoning to Me?

[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”)

Relevant 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?

 

[berkeman]

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.

 

[crownedhues]

If L=1, what is √L ?

it should still be 1

 

[berkeman]

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.