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The loop response of induction motor with loaded three blades to a voltage input of 20Volt can be presented in following equation dw 20 = (0.02) + (0.06)w The speed at the beginning was zero, w(0)=0. Find the speed at 1 = 0.8s. Choose h value for two step sizes. The true value is 303.09rad/s. Calculate the true error and relative approximate error between Euler's result and analytical result. Show them in proper table. (CLO2, 50 marks) Question 2 Solve the Question 1 using Runge Kutta Method. Compare the accuracy between Euler's method and Runge Kutta method. Show them in table. (CLO2 50 marks)

The loop response of induction motor with loaded three blades to a voltage input of 20Volt can be presented in following equation dw 20 = (0.02) + (0.06)w The speed at the beginning was zero, w(0)=0. Find the speed at 1 = 0.8s. Choose h value for two step sizes. The true value is 303.09rad/s. Calculate the true error and relative approximate error between Euler's result and analytical result. Show them in proper table. (CLO2, 50 marks) Question 2 Solve the Question 1 using Runge Kutta Method. Compare the accuracy between Euler's method and Runge Kutta method. Show them in table. (CLO2 50 marks)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1 The loop response of induction motor with loaded three blades to a voltage input of 20Volt can be presented in following equation dw 20 = (0.02) + (0.06)w dt The speed at the beginning was zero, w(0)=0. Find the speed at t = 0.8s. Choose h value for two step sizes. The true value is 303.09rad/s. Calculate the true error and relative approximate error between Euler's result and analytical result. Show them in proper table. (CLO2, 50 marks) Question 2 Solve the Question 1 using Runge Kutta Method. Compare the accuracy between Euler's method and Runge Kutta method. Show them in table. (CLO2 50 marks)
Transcribed Image Text:Question 1 The loop response of induction motor with loaded three blades to a voltage input of 20Volt can be presented in following equation dw 20 = (0.02) + (0.06)w dt The speed at the beginning was zero, w(0)=0. Find the speed at t = 0.8s. Choose h value for two step sizes. The true value is 303.09rad/s. Calculate the true error and relative approximate error between Euler's result and analytical result. Show them in proper table. (CLO2, 50 marks) Question 2 Solve the Question 1 using Runge Kutta Method. Compare the accuracy between Euler's method and Runge Kutta method. Show them in table. (CLO2 50 marks)
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