situation. A lot of equations we learned in class can help our group calculate the range and maximum altitude. Introduction Purpose: The purpose of the experiment was to reinforce the concepts related to motion in two dimensions using water rocket launches and the calculations necessary to determine launch speed and range. Background: (1) Because the water rockets are essentially pressurized chambers‚ they have the same launch speed‚ regardless of launch angle. (2) Ignoring air drag‚ a projectile
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The Cold Equations This short story by Tom Godwin is a very sentimental and lesson learning story. Briefly‚ it is about a ship on a designated mission which encounters a problem because the pilot on the ship encounters a stowaway‚ a young girl‚ and every stowaway found on board must be jettisoned‚ it was the law and there was absolutely no appeal. Marilyn‚ the stowaway’s name‚ was simply a teen and all she wanted was to see her brother whom she hadn’t seen in over 10 years she really meant
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together they both will add up to an angle of 8 degrees which I believe would be an overall good angle. The reason why it’s important not to add too much dihedral is because with too much dihedral comes with an increase of drag. We know that increasing the angle of attack increases the drag coefficient exponentially while the lift coefficient increases linearly with a greater angle of attack. Making the plain have a dihedral of 8 degrees increases the angle of attack and therefore increases the resultant
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DIFFERENTIAL EQUATIONS 2.1 Separable Variables 2.2 Exact Equations 2.2.1 Equations Reducible to Exact Form. 2.3 Linear Equations 4. Solutions by Substitutions 2.4.1 Homogenous Equations 2.4.2 Bernoulli’s Equation 2.5 Exercises In this chapter we describe procedures for solving 4 types of differential equations of first order‚ namely‚ the class of differential equations of first order where variables x and y can be separated‚ the class of exact equations (equation
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DIFFERENTIAL EQUATIONS: A SIMPLIFIED APPROACH‚ 2nd Edition DIFFERENTIAL EQUATIONS PRIMER By: AUSTRIA‚ Gian Paulo A. ECE / 3‚ Mapúa Institute of Technology NOTE: THIS PRIMER IS SUBJECT TO COPYRIGHT. IT CANNOT BE REPRODUCED WITHOUT PRIOR PERMISSION FROM THE AUTHOR. DEFINITIONS / TERMINOLOGIES A differential equation is an equation which involves derivatives and is mathematical models which can be used to approximate real-world problems. It is a specialized area of differential calculus but it involves
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Kinematic Derivation of the Wave Equation http://prism.texarkanacollege.edu/physicsjournal/wave-e... KINEMATIC DERIVATION OF THE HARMONIC WAVE EQUATION AND RELATED TOPICS An extremely important type of wave in physics is the harmonic wave. This is a wave consisting of propagating simple harmonic oscillations or linear combinations thereof. Attach a weight to a spring and hang the spring so the weight is free to move. Then lift the weight straight up and release it; it will oscillate up and down
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Differential Equations Second Order Differential Equations Introduction In the previous chapter we looked at first order differential equations. In this chapter we will move on to second order differential equations. Just as we did in the last chapter we will look at some special cases of second order differential equations that we can solve. Unlike the previous chapter however‚ we are going to have to be even more restrictive as to the kinds of differential equations that we’ll look at
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Quadratic Equations Equations Quadratic MODULE - I Algebra 2 Notes QUADRATIC EQUATIONS Recall that an algebraic equation of the second degree is written in general form as ax 2 + bx + c = 0‚ a ≠ 0 It is called a quadratic equation in x. The coefficient ‘a’ is the first or leading coefficient‚ ‘b’ is the second or middle coefficient and ‘c’ is the constant term (or third coefficient). For example‚ 7x² + 2x + 5 = 0‚ 5 1 x² + x + 1 = 0‚ 2 2 1 = 0‚ 2 x² + 7x = 0‚ are all
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Figure 1 below shows the change in magnitude of the steady state acceleration with time. This graph complies with Newton’s second law as the force applied is equal to 1 and the mass remains constant so and an acceleration of one is expected. I also tested this by changing the value of the force applied‚ to a value of 2‚ which in theory should give and equivalent change in the acceleration‚ to a value of 2. From Newton’s second law: it can be seen that as the force varies‚ provided moment of inertia
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Continuity Equations Continuity equation is a equation that explain the transport of a conserved quantity. Since‚ mass‚ energy‚ momentum are conserved under respective condition‚ a variety of physical phenomena may be describe using continuity equations. By using first law of thermodynamics‚ energy cannot be created or destroyed. It can only transfer by continuous flow. Total continuity equation (TCE)‚ component continuity equation(CCE) and energy equation(EE) is applied to do mathematical model
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