(a) The speed of a motor supplied with a voltage input of30V, assuming the system is without damping, can beexpressed as:30 = (0.02)-(0.06wdtIf the initial speed is zero and a step size of h = 0.4 s,determine the speed w at t 0.8 s by:O using Euler's method; and(i) using the Runge-Kutta 2nd order Heun's method.Given:Euler's method:W - w, + f(t, w, hHeun's method:W - w, +where,k = f(4.w) and k = f(t; + h, w; + k, h)(b) The exact solution of the ordinary differential equation isw(0.8) = 454.64 rad/s. Explain your result by comparingwith the exact solution, and suggest how to reduce theerror between your result and the exact solution.

(a) The speed of a motor supplied with a voltage of 30V, assuming without damping, can be expressed…

Answered: (a) The speed of a motor supplied with…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 74E

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