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Linear and rotary motion is used in many of the previous sensors to detect
pressure, flow, level, and temperature. For this reason it's important
to be able to measure linear and rotary position or distance moved. It's
also important to be able to measure linear and rotary motion and distance
for many positioning and robotic applications. This section will discuss
the operation of linear and rotary potentiometers, linear variable differential
transformers (LVDTs), magnetostrictive sensors, encoders, and resolvers
that are all used to measure distance or position. It's also important
to realize that the two main types of motion, linear and rotary, are virtually
interchangeable with the use of ball screw mechanisms and rack and pinion
devices. This means that if the output motion of a sensor is linear, it
can be changed to rotary motion with a rack and pinion, and if the output
motion is rotary, it can be changed to linear motion with a rack and pinion
or a ball screw mechanism. This simple conversion allows a larger variety
of transducers to be used to measure distance or position.
An example of a rack-and-pinion and a ball screw mechanism is shown in
Figs. 1a and 1b. The ball-screw mechanism is shown in Fig. 1a. From this
diagram it is somewhat visible that the screw part of the ball screw looks
like a threaded rod. The number of threads per inch will determine the
amount of resolution the ball screw will have. When the ball screw is rotated,
the ball bearings will rotate with the screw and cause the traveling portion
of the mechanism to move in a linear motion. This is similar to having
a threaded rod with a nut on it. If the nut is kept from turning and the
rod is rotated, the nut will move back and forth along the threads of the
rod.
Fig. 1b shows the rack and pinion mechanism. From the diagram note that
if rotary motion is used to turn the pinion gear, the rack will change
this motion into linear motion. If linear motion is input into the rack,
the pinion gear would transfer this motion into rotary motion.

Above: Fig. 1 (a) A ball-screw mechanism that converts rotary motion
into linear motion. (b) A rack and pinion mechanism used to convert rotary
motion into linear motion, or to convert linear motion into rotary motion. |
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