In a control system, an accelerometer consists of a 4.39-g object sliding on a c

Question

In a control system, an accelerometer consists of a 4.39-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 0.760g, the object should be at a location 0.465 cm away from its equilibrium position. Find the force constant of the spring required for the calibration to be correct.

(.............)N/m

Explanation / Answer

Here

F = ma = kx

Therefore

k = ma/x

= (4.39*10^-3*0.760*9.81)/(0.465*10^-2)

= 7.0387 N/m

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