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    Fluid Dynamics: Bernoulli's?

    attached is the problem. I use bernoulli's equation along a "streamline" from the inlet at point 1 to outlet at point 2. I do this to obtain the velocity V2. After working through it (simple algebra) I end up with 10.20 m/s ...seems right to me... however upon doing a conservation of mass...
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    Laplace transform

    Hello I'm struggling to understand some basics here with the laplace transform.. I'm given the laplace transform of 2/(s + 4)^4 and I need to take the inverse of this to get back to y(t) Looking at my tables the only transform similar to this is 1/(s + a)^2 I understand I can pull...
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    Electrical Circuit - Power dissipation

    During a Lab we had a simple purely resistive circuit hooked up to a 10 VDC power supply with an adjustable voltage output. In order to determine the power dissipated by the circuit we were asked to determine the source voltage while the circuit was DISCONNECTED... we were not told why... In the...
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    Shifting Coordinates question

    I'm stuck on this question.. I have achieved the answer by fluke but would love help understanding the process its driving me nuts... The velocity of a ball in an x-y coordinate system is (10, -5) where distance is measured in metres. A second coordinate system, p-q, uses units of feet (1 ft...
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    Gauss's Law and electric flux

    Can someone please help me work through this problem I've spent over an hour on this trying to figure out what to do.. heres the question A nonuniform electric field is given by the expression E = ay^i + bz^j + cx^k, where a, b, and c are constants. Determine the electric flux through a...
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    Indefinite Integral of a contant function

    This question is bugging me if an indefinite integral is of the form F(x) + C stating that F(x) is an antiderivative of f(x) and since the derivative of a constant is 0 the collection of all of the anti derivatives are of the F(x) + C accounting for the fact any constant can be tagged to the...
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    Notation clarification

    I'm taking a calculus based physics class this year and I've had a few issues getting reliable information on the following notation the following equation I = \frac{dQ}{dt} the previous equatin represents the instantaneous current in a conductor. what exactly is the term dQ or dt...
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    Indefinite integrals

    This is really a full on homework question but it WILL help me to solve my homework... by helping me fully understand the integral. So im trying to understand exactly what the indefinte integral means? heres my train of thought... if our function F(x) = x2 then its derivative is F'(x) =...
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    Taylor Polynomials- Lagrange remainder

    So I'm studying for a final, and it just so happens my professor threw taylor polynomials at us in the last week.. I understand the concept of a taylor polynomial but i need some help fully understand the LaGrange remainder theorem if we have a function that has n derivatives on the interval...
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    Dot product vector question

    Homework Statement i'm having troubles solving this problem in physics involving dot product rule Vector B is 5m and 60 degress above the x axis A has the same magnitude as C and C is has 25 more degrees than A .. find magnitude of A.. B dot C = 35 B dot A = 30 this all we're...
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    Apparently easy Chain Rule Problem

    Homework Statement F(s) = ( s - \frac{1}{s^2})3 I have to calculate the derivative of this using chain rule everytime i try i get something way different than in the back of the book... my first move is 3( s - \frac{1}{s^2})2 X ( 1 + \frac{2}{s^3}) is this correct? then expand...
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    Trig limit problem

    Homework Statement is there a way to solve lim (x->0) \frac{x - sinx}{x^{3}} using the fact that sinx / x = 1 or is it much more complicated.. i've tried to break it down into sinx/x everyway i can think of with no luck..
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    Take the derivative of rational expression

    Homework Statement f(x) = \frac{x}{x-1} + \frac{x+1}{3x} Homework Statement need to take the first derivative of this expression... I can do it but im curious as too why i cannot take the derivative of \frac{x}{x-1} and then just add it to the derivative of \frac{x+1}{3x}...
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    Ration Inequalities Rule

    Homework Statement Quick question on Rational Inequalities.. Say I have \frac{1+x}{1-x} \huge\geq 1 Why can we not multiply 1 by denominator (1-x) is this because if x > 1 then (1-x) would be negative in effect changing the sign of the inequality.. but if x<1 then the...
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    Stuck on a possibly simple trig limit

    Homework Statement how do you go about solving the equation lim (t->0) 2t / (sin(t)) - t the answer in the text is significantly different than what i get.. i can get most of the other trig limits using the fundamental limit etc.. but this one im stuck ? i may be way over complicating...
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    More limits

    Homework Statement lim (x->0) of (x - Sinx) / x^3 Homework Equations The Attempt at a Solution I would like to know the proper route for analyzing that question... the text is saying i should end up with 1/6 ...however I'm not sure how they arrived at that answer ...
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    Lim sin(1/x) as x->inf

    Homework Statement lim (x->inf) sin(1/x) i have a teacher that seems to think this is equal to 1.. I don't see how this is correct as x approaches infinity 1/x aproaches zero... sin 0 = 0 right? or is this the wrong way of thinking? Homework Equations The Attempt at a Solution
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    Determine size of mirror

    Homework Statement Quick question I can visualise but not determine mathematically.. The question in my text says: Determine the MINIMUM size of a flat vertical mirror that a person 178 cm can see his whole image. It suggest that a ray diagram will help. The Attempt at a Solution...
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    Simple Forces Question

    Homework Statement This will probabaly seem like a very simple question and maybe I'm wayy over thinking it. This goes back to forces on an anchor system.. lets say I have two pieces of rope holding up a 70 kg load.. each rope is attached to a seperate anchor.. the two ropes are perfectly...
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    Force on an Anchor Continued:

    Homework Statement So after determining the way an anchor setup will handle the high tension forces created when at different angles, here is the next step in the question. attached is a rough diagram that can be refered to for some clarity (hopefully). So assuming we have a 68kg climber...
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    Force Equalization on an Anchor

    Homework Statement So I am a climber and I also love physics. I only have first year physics under my belt, and I do not know the concept behind the following question I often think about while setting up a climbing anchor. Attached is a diagram of two 2-point anchor systems. the red lines...
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    Climbing Anchor Equalization

    So I am a climber and I also love physics. I only have first year physics under my belt, and I do not know the concept behind the following question I often think about while setting up a climbing anchor. Attached is a diagram of two 2-point anchor systems. the red lines building the two...
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    Simple Optics Question

    Homework Statement I am given a question with the focal length stated in optical power i.e 6.7m-1 what is optical power it is stated that it is = to 1/f so in the equation 1/p + 1/q = 1/f is it right to assume that 1/p + 1/q = 6.7 or is it 1/6.7 ?? Homework Equations...
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    Question about optics and thin lenses

    Homework Statement Hey, I was just doing some questions on thin lenses, and thought of a question I really want answered just can't find anything on in the text or anywhere. So the question involves a lens with a focal length of f = 18.18 cm now the question asks if the lens would be...
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    Simple gravity explanation

    Homework Statement I was asked a very simple question today about finding the tension in a cable as a 1200kg elevator is accelerating downward at -1.05 m/s^2 . now I could answer the question easily ma = T - mg solve for T but what I couldn't answer was just the basic question when the...
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    Angular Acceleration formula

    Homework Statement A rotating wheel requires 3.00 s to rotate 232.5 rads. It's angular velocity at the end of the 3.00 s interval is 98 rad/s. whatis the constant angular acceleration of the wheel? Homework Equations Not sure The Attempt at a Solution Is this question more complex...
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    Building this graph of simple harmonic motion

    Homework Statement Hey I'm building a graph of period squared vs. mass for simple harmonic motion finding the slope and getting K for a spring. since T^2 = ((4*pi^2)/k)m the slope is (4*pi^2)/k so I get my slope from my graph and it has an uncertainty of +- 0.2 to get K we...
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    Centripetal Acceleration of laundry dryer

    Homework Statement Hi I have a question that involves a laundry dryer, and it must turn at a certain velocity to so that when the object hits 68 degrees to the horizontal it will fall. the radius is the only given r = .330m Homework Equations the answer is stated as Fc = N +...
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