A Hall-effect blood-flow meter uses magnetic field B, transverse voltage V and vessel diameter D to calculate flow. It reported 100 cm³/s. Calibration then shows the voltmeter read 40% above actual and the diameter caliper 10% below actual. Assuming uniform flow and ignoring viscosity, find actual flow in cm³/s to two decimals.
Induced voltage V=BDv and flow Q=vπD²/4, so Q=πVD/(4B). Thus reported Q is proportional to measured voltage times measured diameter, not diameter squared alone. Vmeas=1.4Vactual and Dmeas=.9Dactual, so Qreported=1.26Qactual. Actual flow=100/1.26=79.3651, rounded to 79.37 cm³/s.
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