Matlab
Matlab
6th Edition
ISBN: 9781119299257
Author: Amos Gilat
Publisher: WILEY CONS
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Chapter 7, Problem 25P

Write a user-defined function that determines the polar coordinates of a point from the Cartesian coordinates in a two-dimensional plane. For the function name and arguments, use [th rad]=CartToPolar(x,y). The input arguments are the x and y coordinates of the point, and the output arguments are the angle ? and the radial distance to the point. The angle ? is in degrees and is measured relative to the positive x axis, such that it is a positive number in quadrants I and II, and a negative number in quadrant III and IV. Use the function to determine the polar coordinates of points (14, 9), (-11, 20), (-15, 4), and (13.5, -23.5).Chapter 7, Problem 25P, Write a user-defined function that determines the polar coordinates of a point from the Cartesian

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Barbara boards a Ferris wheel with a 50-foot radius. The center of the Ferris wheel is 60 feet above the ground. When Barbara boards, the Ferris wheel is at the bottom of its rotation. The angle swept out as Barbara rotates is measured from the 3 o'clock position. a) Define a function f that relates Barbara's vertical distance above the ground v (measured in feet) as a function of her angle of rotation, 0 (measured in radians) from the right side of the Ferris wheel. b) Suppose that the Ferris wheel rotates so that each cart moves at a constant rate of 8 feet per second and makes no stops. Express the distance traveled by Barbara s (in feet) as a function of the number of seconds t since the Ferris wheel began to turn. c) Express O the angle of rotation from the right side of the Ferris wheel in terms of t the number of seconds since the Ferris wheel began to turn.
Find the value of θ
Directions: Set your calculators on radians at this point. Do not round off during intermediate solutions. Use 3 decimal places (if applicable) in your final answer. For complex numbers, use this format (a+jb): 1. No spaces in between! 2. Use 'j' as the imaginary number 3. Use 3 decimal places (if applicable) for Real and Imaginary parts. Ex. 1.247+j0.557, 1.5-j0.5 Calculate the 3-point DFT of the given sequence: x(n) = [10 -1]

Chapter 7 Solutions

Matlab

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