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To characterize the dynamic response of a pressure sensor, you connect it to an inflated balloon...

  1. To characterize the dynamic response of a pressure sensor, you connect it to an inflated balloon and suddenly pop it. Before popping, your sensor reads P = 5 psi. Exactly t = 1.0 s later, the sensor reads P = 0.2 psi, and much later, the reading settles to 0.0 psi. Assume a first-order system.

    a. What is the time constant (tau) of this sensor?
    b. What is the corner frequency (ωc) of this sensor?
    c. What % error would you expect when measuring blood pressure oscillating at 1 Hz?

    Is this a suitable sensor for this measurement?

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