Recent content by Fizz_Geek

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    Average acceleration from average velocity?

    Homework Statement A particle travels from point A to point B following a semicircular path (a half-circle) of radius 5 m, and it travels at a constant speed of 1 m/s. Find the average acceleration of the particle. Homework Equations Average acceleration = change in velocity/ change...
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    Rotational Dynamics of a Bicycle wheel

    Oops, should have checked the date before replying.
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    Rotational Dynamics of a Bicycle wheel

    You used the diameter of the sprocket where you needed the radius. Using your equations, I'm getting for part a: F = 847 N
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    Adiabatic compression of ideal diatomic gas

    Oh! Okay, thanks for all your help!
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    Adiabatic compression of ideal diatomic gas

    Actually, that formula is in my intro book. But how would I use it here? I don't have the value of n.
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    Adiabatic compression of ideal diatomic gas

    Oh! Thanks very much for your time!
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    Adiabatic compression of ideal diatomic gas

    That's what I was trying to do, but my calculator died, so I was using the graphing calculator app on my phone. Did you get c = 3.577e4 ? Then W = - 19 kJ ? If not, can you just tell me if the method is correct or not? Did I use the right value of gamma and the right equations? Thanks again!
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    Adiabatic compression of ideal diatomic gas

    Homework Statement An ideal diatomic gas, with rotation but no oscillation, undergoes an adiabatic compression. Its initial pressure and volume are 1.9 atm and 0.30 m3. It's final pressure is 2.9 atm. How much work is done by the gas? P0 = 1.9 atm = 1.93e5 Pa V0 = 0.30 m3 P = 2.9 atm =...
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    Proving Maximal Ideal I in Noncommutative Ring R with Unity

    Oh, I got it! You wouldn't happen to know any good resources with examples on this elementary matrix method, would you? I really appreciate your help, thank you very much!
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    Proving Maximal Ideal I in Noncommutative Ring R with Unity

    So I did what you asked, and I multipled on the right and left by E1,1. This gives the desired matrix. And I know this matrix is an element of I because I is an ideal and absorbs products. The train of thought I was following started out the same, but I was trying to modify the given matrix...
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    Proving Maximal Ideal I in Noncommutative Ring R with Unity

    Question: Find a noncommutative ring R with unity, with maximal ideal I such that R/I is not a field. Attempt at a solution: Let R = the set of all 2x2 matrices with integer entries. Let I = the set of all 2x2 matrices with even integer entries. I'm having trouble proving that I is...
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    Nonlinear Differential Equation Homework Attempt

    To hunt_mat: That's a very nice trick! I got stuck on the next step, integrating (r')2, but I'll try to work that out with my friend before asking again. Thanks very much!
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    Nonlinear Differential Equation Homework Attempt

    How's does multiplying by a derivative give me an integral?
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    Nonlinear Differential Equation Homework Attempt

    Homework Statement r" = 1/r^2 Homework Equations A friend gave this to me, he was just wondering how we'd approach it. The Attempt at a Solution I don't think the equation is linear, so I don't know how to approach it. My friend suggested integrating both sides with respect to r...
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    Solving Basis Functions Homework w/ Constants A_n & B_n

    Thanks for the reply! I thought to do something like that, and I can understand that both series would converge, but how would they be equal?
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