HW5 - Texas A&M University Department of Mechanical...

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Texas A&M University Department of Mechanical Engineering MEEN 260 Measurement and Instrumentation in Mechanical Engineering Fall 2010 Assignment #5 Due Monday, Oct 11, 2010 Problem 1: (6 Points.) An inductive sensor probe is shown below. a. What is the nominal inductance of a probe with , a circular cross section of , and a standoff distance of ? b. Assuming that we have excite the probe with a sinusoidal signal of amplitude 12 volts at 1200Hz, what are the values of for both the stanoff position as well as when the probe is at a distance of 11mm from the measured object (a rotating shaft?) The resistance of the probe is 1.2 Ohms. Problem 2: (4 Points.) A capacitive sensor is used to make position/displacement measurements. Assuming a similar configuration as that in the class notes, what is the sensitivity of the probe (in terms of changes in capacitance versus distance) at is nominal position given a nominal capacitive gap of 1mm and electrode area of ? Assume dielectric constant of air to be 1. V i L R h 0 x V o Nominal position of the top of the shaft h Top of the shaft position after displacement n 100 = 1cm 2 h 0 = V 0 2
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Solution October 18, 2010 2 Solution Problem 1: a. The nominal inductance of a probe with , a circular cross section of diameter , standoff distance of is given by (1) (2) b. The inductance of the probe when the shaft is displaced by 1mm from its nominal position is
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This note was uploaded on 01/03/2011 for the course MEEN 260 taught by Professor Langari during the Fall '08 term at Texas A&M.

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HW5 - Texas A&M University Department of Mechanical...

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