- #1
coasterguy
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- 0
Dimensional analysis, I'm kinda lost
- Thread starter coasterguy
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AI Thread Summary
The discussion revolves around understanding the formula for wind force, F = 0.00256 Cd V² A, and determining the units of the constant 0.00256 to ensure dimensional homogeneity. Participants express confusion about the professor's explanation and seek clarity on how to approach the problem. Key questions include the full definition of the drag coefficient (Cd) and identifying missing variables necessary for non-dimensionalization. Emphasis is placed on checking units to solve the dimensional analysis correctly. The conversation highlights the importance of understanding unit consistency in physics equations.
- #2
djeitnstine
Gold Member
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Since you know this already, I will answer your question with another question.
What is the full definition of C_d ?
What 2 important variables are missing to non-dimensionalize that term there?
As your topic implies, check your units.
What is the full definition of C_d ?
What 2 important variables are missing to non-dimensionalize that term there?
As your topic implies, check your units.
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19.
For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question.
Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point?
Lets call the point which connects the string and rod as P.
Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Let's declare that for the cylinder,
mass = M = 10 kg
Radius = R = 4 m
For the wall and the floor,
Friction coeff = ##\mu## = 0.5
For the hanging mass,
mass = m = 11 kg
First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on.
Force on the hanging mass
$$mg - T = ma$$
Force(Cylinder) on y
$$N_f + f_w - Mg = 0$$
Force(Cylinder) on x
$$T + f_f - N_w = Ma$$
There's also...
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