A circular pan of liquid with density ρ is centered on a horizontal turntable rotating with angular speed ω, as shown in the figure to the right. Atmospheric pressure is P0. Find expressions for (a) the pressure at the bottom of the pan and (b) the height of the liquid surface as functions of the distance r from the axis, given that the height at the center is h0.

Problem 1: As shown in Fig. 1(a), a flat-plate airfoil with a chord length c has an angle of attack, a.. Surface pressures on the lower and upper surfaces are p1 and p2, respectively. Calculate the lift and drag of the flat-plate airfoil. Note: Decompose pressure vectors into the vertical and horizontal components that contribute to the lift and drag, respectively. Problem 2: As shown in Fig. 1(b), a two-segment airfoil with a chord length c has a slope angle a.. Surface pressures on the two upper surfaces are p1 and p3, respectively. The pressure on the lower surface is p2. Calculate the lift and drag of the flat-plate airfoil. Note: Decompose pressure vectors into the vertical and horizontal components that contribute to the lift and drag, respectively. The chord length c is a distance between the leading and trailing edges. You need to calculate the length of a segment. a (a) pl p2 p2 a pl (b) p3

The lower section of a constricted pipe has a diameter of 8 cm. The upper section of the pipe, located 0.1 m above the lower section, has a diameter of 3 cm. The pressure at the lower section is 2.1 ×× 104 Pa, while the pressure in the upper section is 1 ×× 104 Pa. Assuming water moves through the pipe in a steady flow, calculate the speed (in m s-1) of the flow in the lower section. The density of water is 1000 kg m-3

A length of clear plastic tubing is bent into a vertical U, as shown in the figure, and two liquids that do not mix are poured into it. Liquid A, with density ρA continues from the left column into the right. Its height is d1 in the left column and d2 in the right column. Liquid B, with density ρB, sits on top of liquid A in the right column. Its height is d3 above liquid A. a) Enter an expression for the density of liquid B, in terms of the other defined quantities.  b) Calculate the density of liquid B, in kilograms per cubic meter, if liquid A has a density of ρA = 1.6×103 kg/m3, and d1 = 11.8 cm, d2 = 7.2 cm, d3 = 6.3 cm.

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Q. 26. A cylindrical tank having radius R is half filled with water having density p. There is a hole at the top of the tank. The tank is moved horizontally, perpendicular to its length, with a constant acceleration equal to the acceleration due to gravity (g). Find the maximum pressure exerted by water at any point on the tank. Atmospheric pressure is Po. Assume that there is no spillage.