In the figure, mass m covers a circular opening of radius, R. The liquid has density p (a) Find an expression (in terms of given quantities) for the height, h, when the mass will lift off the opening. (b) What is the value of h if the liquid is water and if D = 2:3 m, d = 2:5 m, R = 0:3 m, and m =500 kg.

Fluid mechanics

I need help with section C D  E Thank you

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A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 6 x 10-3 m³. If the density of air is 1.3 kg/m³, what is the buoyant force exerted %3D on the balloon?

A closed cylindrical vessel, 2m in diameter & 4m high is fully filled with water & rotated to its vertical axis at a constant speed of 12.2 rad/sec. The top is pressurized by 180 KPa. (a) What is the pressure at the center bottom of the cylinder? (b) What is the pressure at the circumference bottom of the cylinder? (c) What is the total hydrostatic force at the sides of the cylinder?

1- Panel BC in the figure is circular. Compute (a) the hydrostatic force of the water on the panel; (b) its center of pressure; and (c) the moment of this force about point B. Given and unknowns: Assumptions: Schematic: Governing Equation(s): Analysis and Results: Water at 20°C C 50° B 3 m 3 m 3 m

A tank containing helium has a manometer attached, as shown in the figure. The local atmospheric pressure, Po, is 100 kPa and the gravitational acceleration is 9.81 m/s. The heights of each fluid in the manometer are hi = 330 mm, h2 = 460 mm and h3 = 500 mm. Assume the densities of the water (pw), light oil (poi), and mercury (pH2) in the system are equivalent to those at standard atmospheric conditions. Determine the pressure of the helium in the tank, PHe, in kPa. P. Light Oil, Poil h1 Helium g h3 Water, Pw Mercury, PHg

3. Consider a hot-air balloon with fixed volume VB = 1.1 m³. The mass of the balloon envelope, whose volume is to be neglected in comparison to VB, is m̟ = 0.187 kg. The balloon shall be started, where the external air temperature is T1 = 20°C and the normal %3D

If a closed tank contains compressed air and oil (SGoil = 0.90), with a U-tube manometer using mercury (SGHg = 13.6), is connected to the tank as shown in the figure below. For column heights h1=1 m, h2= 25 cm, and h3= 245mm then the pressure exerted on the system by the mercury is kPa Air Cil Pressure gage (1) Open (2) H₂