Unit 5 Formula Sheet

= m / V

P = F / A 1 N/m² = 1 Pa

P_A = 1.01*10⁵ Pa = 1 atm = 76 cm Hg = atmospheric pressure at sea level.

g = 9.8 m/s²

F₁ / A₁ = F₂ / A₂ hydraulic lift

P = g h

P_(h) = P_A + g h

pressure in liquids

P + g h + (1/2)

V² = constant Bernoulli's Law

V₁A₁ = V₂A₂ Continuity Equation - incompressible fluid

Poiseuille's Law for flow rate in cylindrical pipe

F_air = C A v² air friction; C = 1 kg/m

v_s = 2 R² g ( - _L) / 9 sedimentation in viscous liquid

F = 6RV Strokes' Law for viscous force

Reynolds number:R = radius; Re = 2000 => turbulence

F_B = Weight of displaced fluid = _fluidV_objectg buoyant force

V = (4/3) R³ volume of sphere

= 1.0 * 10^-3 Pa*s viscousity of water at 20^oC