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Physics & Mathematics for Medical Science
Physics & MathematicsLesson 1 of 3

Fluid Dynamics, Hydrostatic Pressure & Archimedes

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P = rho * g * hBuoyant Force Fb = rho *V * gFlow Continuity A1*V1 =A2*V2Fluid Physics
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Fluid mechanics models blood circulation and respiratory pressure gradients.

  • Hydrostatic Pressure: \(P = P_0 + \rho g h\) where \(\rho\) = fluid density, \(g\) = 9.8 m/s², \(h\) = depth.
  • Archimedes' Principle: Buoyant force equals the weight of displaced fluid: \(F_b = \rho_{\text{fluid}} V_{\text{displaced}} g\).
  • Continuity Equation: \(A_1 v_1 = A_2 v_2\) (Narrower blood vessels lead to higher flow velocity).

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