Automating Manufacturing Systems - Process Control and ...

continuous sensors - 23.39
6.
θ w
a) V out = ( V 2 – V 1 ) ⎛----------⎞ + V
⎝ ⎠ 1 = ( 5V – 0V)
⎛-----------------
42deg ⎞ + 0V = 0.7V
⎝300deg⎠
θ max
θ w
b) 2.765V = ( 5V – 0V)
⎛-----------------
⎞ + 0V
⎝300deg⎠
θ w
2.765V = ( 5V – 0V)
⎛-----------------
⎞ + 0V
⎝300deg⎠
= 165.9deg
θ w
7.
θ output
=
0.1-------------
deg
count
θ input
---------------
θ output
50
= ----- θ
1 input = 50⎛0.1-------------
deg ⎞ = 5-------------
deg
⎝ count⎠
count
R
360 deg --------
= ------------------
rot
5-------------
deg = 72 count -------------
rot
count
8.
strain gauge measures strain in a material using a stretching wire that increases resistance
- accelerometers measure acceleration with a cantilevered mass on a piezoelectric
element.
9.
R
DMM V = K s ω
ω· + ω⎛-----
K2 ⎞ = V ⎛ K
⎝JR⎠
s ----- ⎞
⎝JR⎠
V s
= ω( K) + ω· ⎛JR
⎝
----- ⎞
K ⎠
+
-
When the motor shaft is turned by
another torque source a voltage is generated
that is proportional to the angular
velocity. This is the reverse emf. A dmm,
or other high impedance instrument can
be used to measure this, thus minizing
the loses in resistor R.
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