Load cells measure force using internal strain gages. A properly designed load cell has a very small mass compared to the effective mass of the load. The load cell and its load operate together as a second-order dynamic system. A load cell has a range of 0 to 500lbf and a maximum deflection of 0.0100 inches. The effective mass of the load is 20.0 lbm, and the damping ratio is 0.100.
(a) Calculate the spring constant k(also called stiffness=Force/Displacement) of the load cell.
(b) Calculate the undamped natural frequency in Hz.
(c) At time t = 0, a load of 100 lbf is suddenly applied to the system. How long will it take for the system output amplitude to be within 0.5% of the static response?
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