2. A small spherical particle (diameter = 75x10-6 m) is falling through air from a high...
Find the terminal velocity (in m/s) of a spherical bacterium (diameter 1.73 µm) falling in water. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.10 ✕ 103 kg/m3. (Assume the viscosity of water is 1.002 ✕ 10−3 kg/(m · s).)
1.) Find the terminal velocity (in m/s) of a spherical bacterium (diameter 1.94 µm) falling in water. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.10 ✕ 103 kg/m3. (Assume the viscosity of water is 1.002 ✕ 10−3 kg/(m · s).
A spherical raindrop 1.9 mm in diameter falls through a vertical distance of 4150 m. Take the cross-sectional area of a raindrop = πr2, drag coefficient = 0.45, density of water to be 1000 kg/m3, and density of air to be 1.2 kg/m3. (a) Calculate the speed a spherical raindrop would achieve falling from 4150 m in the absence of air drag. _________ m/s (b) What would its speed be at the end of 4150 m when there is air...
The drag force F acting on a spherical particle of diameter D falling slowly through a viscous fluid at velocity u is found to be influenced by the diameter D, velocity of fall u, and the viscosity . Using the method of dimensional analysis obtain a relationship between the variables. Number of variables is a. (5) Ob. (6) c. (7) d. None of the above Number of the dimensions is e. (3) f. (4) g. (5) Number of the groups...
A spherical raindrop 3.3 mm in diameter falls through a vertical distance of 4000 m. Take the cross-sectional area of a raindrop ,drag coefficient 0.45, density of water to be 1000 kg/m3, and density of air to be 1.2 kg/m3. (a) Calculate the speed a spherical raindrop would achieve falling from 4000 m in the absence of air drag 280 m/s (b) What would its speed be at the end of 4000 m when there is air drag? 1.091 What...
Consider a spherical bacterium, with radius 1.7 μm , falling in water at 20° C. Find the terminal speed of the spherical bacterium in meters per second, ignoring the buoyant force on the bacterium and assuming Stokes' law for the viscous force. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.3 × 103 kg/m3. The viscosity of water at 20 °C is...
Calculate the terminal velocity for a pollen grain falling through the air using the drag force equation. Assume the pollen grain has a diameter of 7 µm and a density of 0.3 g/cm3. If this grain is released from the top of a tree (height 11 m), estimate the time it will take to fall to the ground. Hint: The pollen grain will reach its terminal velocity very quickly and will have this velocity for essentially the entire motion. Your...
1) Air under standard conditions flows through a 5 mm diameter drawn tubing with an average velocity of V 40 m/s. Determine the pressure drop (Ap) and head loss (h) if the length of tube is 10 cm. Assume minor losses are zero. Air density 1.23 kg/m3 Air viscosity 0.0000179 N.s/m2
Determine the residence time (in hours) for a 25-um particle in the atmosphere with a density of 1,200 kg/m3 at an elevation of 3,500 m. Assume the gravitational acceleration is 9.8 m/s2 and the viscosity of air is 0.0172 g/m-s. 4. 4
Determine the residence time (in hours) for a 25-um particle in the atmosphere with a density of 1,200 kg/m3 at an elevation of 3,500 m. Assume the gravitational acceleration is 9.8 m/s2 and the viscosity of air is...
Stokes' law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes' law to calculate the viscosity of the liquid. Suppose a steel ball bearing (density 7.8 x 103 kg/m3, diameter 2.0 mm) is dropped in a container of motor oil. It takes 11 s to fall a distance of 0.65...