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Physics 1710 —Warm-up Quiz. Answer Now !. 10. 39% 55 of 140. 0. Which graphic most closely depicts reality?. None of the above. A. B. C. Physics 1710 —C hapter 14 Fluid Dynamics. 0. Hydrostatic Column. A. B. C. Physics 1710 —C hapter 14 Fluid Dynamics. 0. Review:
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Physics 1710—Warm-up Quiz Answer Now ! 10 39% 55 of 140 0 Which graphic most closely depicts reality? • None of the above. A B C
Physics 1710—Chapter 14 Fluid Dynamics 0 Hydrostatic Column A B C
Physics 1710—Chapter 14 Fluid Dynamics 0 Review: Pressure is the force per unit area. P =F/A Unit of pressure [Pacal] = [N]/[m2] The hydrostatic pressure is P = Po + ρgh Vx∝ P =Po + ρgh
Physics 1710—Chapter 14 Fluid Dynamics 5 kg No Talking! Confer! Think! 0 ρ = 5000 kg/m3 What will the scales read? 20 kg Peer Instruction Time
Physics 1710—Chapter 14 Fluid Dynamics 0 41% 58 of 140 Answer Now ! 0 What will the scales read? • Top 4 kg, bottom 20 kg • Top 5 kg, bottom 20 kg • Top 4 kg, bottom 21 kg • Top 0 kg, bottom 25 kg • None of the above
Physics 1710—Chapter 14 Fluid Dynamics mg-ρfluid g(m/ρ) ρfluid g(m/ρ) - Mg - mg - ρfluid g(m/ρ) -[Mg+ρfluid g(m/ρ)] 0 Review: Archimedes’ Principle: Fbuoyant = ρfluid g V
Physics 1710—Chapter 14 Fluid Dynamics P P 0 F = AΔP - mg= A ρfluid g Δh – mg F = Fbouyant - mg Fbouyant = ρfluid g V Archimedes Pressure A V - mg
Physics 1710—Chapter 14 Fluid Dynamics P P 0 Fbouyant = ρfluid g V Archimedes Pressure V - ρfluid V g
Physics 1710—Chapter 14 Fluid Dynamics 0 Archimedes Pressure Archimedes’ Principle: Fbuoyant = ρfluid g V The buoyant force of a submerged body is equal to the weight of the fluid displaced.
Physics 1710—Chapter 14 Fluid Dynamics 0 Why does the atmosphere extend above P = Po + ρghh = 101 kPa/(1.24 kg/m3x 9.8 N/kg) h = 8.3 km ~ 5 miles?
Physics 1710—Chapter 14 Fluid Dynamics No Talking! Confer! Think! 0 Why does the atmosphere extend above 8.3 km? Peer Instruction Time
Physics 1710—Chapter 14 Fluid Dynamics 0 Why does the atmosphere extend above 8.3 km? dP = - ρg dy But ρ = ρo (P/Po) So P -1 (dP/dy) = - g ρo /Po P = Po exp[ - (gρo/ Po)y] At y = 8.3 km, P = 0.37 Po ~ 37 kPa
Physics 1710—Chapter 14 Fluid Dynamics 0 V constant if fluid is incompressible. A1v1 = A2v2 Continuity
Physics 1710—Chapter 14 Fluid Dynamics 0 ΔW = ½ m v2 + mg y dW/dV = ½ ρ v2 +ρg y = d (Fy)/dV = dF/dA =ΔP ½ ρ v2 +ρg y =ΔP Work done on fluid
Physics 1710—Chapter 14 Fluid Dynamics 0 Bernoulli’s Equation: P + ½ ρv2 + ρgy = constant = total energy per unit volume
Physics 1710—Chapter 14 Fluid Dynamics 0 Summary: Pressure is the force per unit area. P =F/A Unit of pressure [Pacal] = [N]/[m2] The hydrostatic pressure is P = Po + ρgh Archimedes’ Principle: Fbouyant = ρfluid g V Equation of Continuity: A1v1 = A2v2 Bernoulli’s Equation:P + ½ ρv2 + ρgy = constant.
Physics 1710—Chapter 15 Oscillatory 0 • F = m a • - PA = ALρ d2y/dt2 • gρy = L ρd2y/dt2 • d2y/dt2 = --(g/L) y • y = Yo sin(ω t);ω = 2π√ (g/L) y What happens in the following case: ρ L
Physics 1710—Chapter 15 Oscillatory Oscillatory Motion: y = Yo sin(ω t); sinusoidalω = 2π√ (g/L); angular frequency Fy = - ky Fy = md2y/dt2 Then y = Yo sin(ω t) with ω = 2π√ (k/m)
Physics 1710—Chapter 14 Fluid Dynamics 10 0% 0 of 1 Answer Now ! Where should the fulcrum be place to balance the teeter-totter?
Physics 1710—Chapter 14 Fluid Dynamics 10 0% 0 of 1 Answer Now ! Which way will the torque ladder move? • Clockwise • Counterclockwise • Will stay balanced