In a control system, an accelerometer consists of a 4.23-g object sliding on a c

Question

In a control system, an accelerometer consists of a 4.23-g object sliding on a calibrated horizontal rail. A low-mass spring attaches the object to a flange at one end of the rail. Grease on the rail makes static friction negligible, but rapidly damps out vibrations of the sliding object. When subject to a steady acceleration of 0.792g, the object should be at a location 0.475 cm away from its equilibrium position. Find the force constant of the spring required for the calibration to be correct.

in N/m

Explanation / Answer

a = A w^2

==> a = A k/m

==> k = m a/A = 4.23e-3*0.792*9.8/0.475e-2 = 6.91 N/m

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