A piezoelectric sensor (2 nd order system) has a natural frequency of 500 Hz, a damping ratio of 0.2 and static sensitivity of 4 volts/kN. Determine (a) the time constant of this system; (b) the ringing frequency (rad/s) and the period (s) of the output signal if a step function is applied; (c) the amplitude (volts) of the sensor's steady output to a periodic function input at 1000 Hz of amplitude 10 kN.

Abag of potato chips contains 2.00 l of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0 deg c. what will be the volume of the air in the bag if you take it with you, still sealed, to the mountains where the temperature is 7.00 deg c and atmospheric pressure is 70.0 kpa? assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air.