A rain gauge consists of a funnel with a diameter D = 10 cm that collects rain and deposits liquid water of density ρ = 1 × 103 kg / m^3 inside a cylinder of diameter d = 1 cm. The column of collected liquid rises at the rate of one centimeter per minute. a) If the raindrops fall into the funnel with a velocity of 10 m / s, calculate the mass of water liquid in a cubic meter of the atmosphere. b) Assuming that the raindrops have a radius of 1 mm, determine the number of drops in a cubic meter of the atmosphere. Justify your calculation method.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A rain gauge consists of a funnel with a diameter D = 10 cm that collects rain and deposits liquid water of density ρ = 1 × 103 kg / m^3 inside a cylinder of diameter d = 1 cm. The column of collected liquid rises at the rate of one centimeter per minute.
a) If the raindrops fall into the funnel with a velocity of 10 m / s, calculate the mass of water liquid in a cubic meter of the atmosphere.
b) Assuming that the raindrops have a radius of 1 mm, determine the number of drops in a cubic meter of the atmosphere. Justify your calculation method.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
