During a step function calibration, a first-order instrument is exposed to a step change of 200 units. 1-If after 1.5 s the instrument indicates 140 units, find the instrument time constant. 2- find the error in the indicated value after 2 s. 3- Find the raise time at 90 % of the system. y(0)=0 units; K=1 unit/unit.
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
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Question 3
During a step function calibration, a first-order instrument
is exposed to a step change of 200 units.
1- If after 1.5 s the instrument indicates 140 units, find the
instrument time constant.
2- find the error in the indicated value after 2 s
S.
3- Find the raise time at 90 % of the system.
y(0)=0 units; K=1 unit/unit.
Question 4
A first order instrument with a time constant of 2 seconds is to
be used to measure a periodic input. If a dynamic error of
±2% can be tolerated,
1- determine the maximum frequency of periodic input that
can be measured.
2- What is the associated time lag (in seconds) at that
frequency?
MECH374: Instrumentation and Measurement
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