Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Textbook Question
Chapter 5, Problem 5.51P
A step test is run to determine the time constant of a first-order instrument (see Chapter 3). If the error fraction T(z) can be estimated to within ±2% (95%) and time I can be estimated in seconds to within ±0.5% (95%), plot «,/r versus T(/) over its range,
o<r(0<i.
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QUESTION 1
Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.)
d²x (1)
+x(t)
dx(1)
dt
+x(t)=0
dx
x(0) = 0,
=1.
dt
=0
What is x(t=0.8)?
0.653
○ 0.726
○ 0.498
0.547
○ 0.651
○ 0.895
QUESTION 2
Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.)
d²x(t)
dt²
x(0)-1,
+x²=0
dx
dt
#L-
=1.
=0
What is dx/dt (t=2.5)?
-0.217
-1.32
0.432
0.556
-0.485
○ 0.120
PartII Say you've deployed a robot that can can
measure electric field due to specified charge at the
specified location with good accuracy. And you got
these results from the robot:
Electric field due to q2 at point p1 is
(-1667.0) i + (18340.0) j
Electric field due to q3 at point p1 is
(-2496.0) i + (–1628.0) j
Electric field due to q1 at point p2 is
(-6311.0) î + (2470.0) }
Electric field due to q2 at point p2 is
(-11585.0) î + (–6951.0) ĵ
Electric field due to q3 at point p2 is
(4657.0) î + (11310.0) }
c) Find the net Electric field at pj .
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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