hw1solnf2009 - MAE170 Homework 1 Solution Fall 2009 P1.11...

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

View Full Document Right Arrow Icon
MAE170 Homework 1 Solution Fall 2009 P1.11 The accuracy of the clock is dependent upon a constant flow from the orifice. The flow is dependent upon the height of the water in the float tank. The height of the water is controlled by the float. The control system controls only the height of the water. Any errors due to enlargement of the orifice or evapo- ration of the water in the lower tank is not accounted for. The control system is shown in Figure 1 on the next page. E2.21 The rotational velocity is ω ( s ) = 2 . 5( s + 2) ( s + 5)( s + 1) 2 1 4 s Apply the partial fraction expansion method. 2 . 5( s + 2) 4 s ( s + 5)( s + 1) 2 = A s + B s + 5 + C s + 1 + D ( s + 1) 2 0 . 625( s +2) = A ( s 3 +7 s 2 +11 s +5)+ B ( s 3 +2 s 2 + s )+ C ( s 3 +6 s 2 +5 s )+ D ( s 2 +5 s ) and by comparing coefficients of equal powers of s on both sides, we obtain a system of 4 linear equations in the 4 unknowns. A
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/31/2010 for the course ENGRMAE 170 taught by Professor Staff during the Fall '08 term at UC Irvine.

Page1 / 4

hw1solnf2009 - MAE170 Homework 1 Solution Fall 2009 P1.11...

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