Conical Pendulum Homework: Find Ratio of Tangential Speeds

AI Thread Summary
The discussion revolves around calculating the ratio of tangential speeds (V2/V1) for two conical pendulums with different masses and lengths, both at an angle of 33 degrees. The user initially derived the formula for tangential speed but mistakenly concluded the ratio as 1/2 instead of the correct V2/V1. A contributor pointed out that the user had confused the ratio direction, clarifying that the correct interpretation should yield a different result. The conversation highlights the importance of careful attention to ratio definitions in physics problems. Ultimately, the user expresses gratitude for the clarification provided.
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Homework Statement



Consider 2 conical pendulums. The first one has mass M and length L and the second has mass 4M and Length 4L. For both parts the angle theta is 33 degrees. The ratio of the tangential speeds of the two circular motions V2/V1 is?

Homework Equations



I know that tan(theta) = V^2/rg. I rearranged the equation to get V = square root of [gtan(theta)/r], where r = Lsin(theta). I keep getting the ratio 1/2, but it's wrong. Can someone please point out my mistake?

The Attempt at a Solution



Thanks!
 
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I'm guessing you found the ratio of V1/V2 to be 1/2, but the question is asking for V2/V1 :wink:
I think that's the only problem.
 
lol, thank you so much! :) You're a great help!
 
Glad I could help!
 
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