HW7 Solution

# HW7 Solution - coordinates θ and r t(s 200 202 204 206 208...

This preview shows pages 1–3. Sign up to view the full content.

ME 218: ENGINEERING COMPUTATIONAL METHODS Home Work #7 Assigned: October 21, 2011 Due: October 27, 2011 Name: __________________UT EID: ____________Unique: _________ Lab Time: (Mon/Tue) ___PM Problem 1: Least Squares Method (Exponential) Andrade’s equation has been proposed as a model of the effect of temperature on viscosity: a T B D / e = μ where =dynamic viscosity of water, a T = absolute temperature (K), and D and B are parameters. Fit this model to the following data for water. ) ( C T 0 5 10 20 30 40 ) / 10 ( 2 3 m Ns × 1.787 1.519 1.307 1.002 0.7975 0.6529 Note: ] [ ) 273 ( ] [ C T K T a + = Problem 2: Numerical Differentiation (Forward / Backward) An airplane is being tracked by a radar, and data is taken every two seconds in polar

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: coordinates θ and r. t (s) 200 202 204 206 208 210 (rad) 0.75 0.72 0.70 0.68 0.67 0.66 r (m) 5120 5370 5560 5800 6030 6240 Calculate the velocity of the plane as a function of time, where the velocity V is given by: ( ) 2 2 r V r + = Compute the derivatives using the appropriate finite difference techniques (forward, central or backward difference – what ever is the best at any given point). Note that here dt d and dt dr r = = . 7 I .1 z Up /, l«7 0.02*7 t--14 be Q i 1 f . x CxflSid&r tks Vt 0 <V -M C 9 /\ ' V\ 4>ja<*AO yjfVvJ; < ! \i i-t , j '•A-^1 r-.'A <.t V...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

HW7 Solution - coordinates θ and r t(s 200 202 204 206 208...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online