mws_ind_ode_txt_euler_Examples

mws_ind_ode_txt_euler_Examples - 08.02.1 Chapter 08.02...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 08.02.1 Chapter 08.02 Eulers Method for Ordinary Differential Equations- More Examples Industrial Engineering Example 1 The open loop response, that is, the speed of the motor to a voltage input of 20 V, assuming a system without damping is w dt dw ) 06 . ( (0.02) 20 . If the initial speed is zero w , and using Eulers method, what is the speed at s 8 . t ? Assume a step size of s 4 . h . Solution w dt dw 3 1000 w w t f 3 1000 , The Eulers method reduces to h w , t f w w i i i i 1 For i , t , w h w , t f w w 1 4 . , f 4 . 3 1000 4 1000 . rad/s 400 1 w is the approximate speed of the motor at h t t t 1 4 . s 4 . 400 4 . 1 w w rad/s For 1 i , 4 . 1 t s, 400 1 w h w , t f w w 1 1 1 2 4 . 400 , 4 . 00 . 400 f 4...
View Full Document

This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida.

Page1 / 4

mws_ind_ode_txt_euler_Examples - 08.02.1 Chapter 08.02...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online