Find the terminal speed in µm/s of a bacteria (size 2 µm) falling in water. The drag force for a small object like a bacteria is given by Fdrag = Crv where C = 0.02 is the drag coefficient, r is the radius and v is the speed. Take the density of the bacterium to be 1100 kg/m3. (Assume the bacteria is spherical.)
________ µm/s
Find the terminal speed in µm/s of a bacteria (size 2 µm) falling in water. The...
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).
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 speed (in m/s) a spherical rain drop would achieve falling from 4.70 km in the absence of air drag and with air drag. Take the size across of the drop to be 3 mm, the density to be 1.00 ✕ 103 kg/m3, and the surface area to be πr2. (Assume the density of air is 1.21 kg/m3.) (a) in the absence of air drag (b) with air drag
Calculate the speed (in m/s) a spherical rain drop would achieve falling from 4.70 km in the absence of air drag and with air drag. Take the size across of the drop to be 9 mm, the density to be 1.00 ✕ 103 kg/m3, and the surface area to be πr2. (Assume the density of air is 1.21 kg/m3.) (a) in the absence of air drag 303.51 Correct: Your answer is correct. m/s (b) with air drag
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...
The drag force on falling box is described by FD=(1/2)ρACDv2, where ρ is the density of air, 1.2 kg/m3. The mass of the box is 12.0 g, and the effective area of the bottom of the box is 109 cm2. Assume a drag coefficient of 1.10 a) Determine the drag force on the box when it is falling at a speed of 1.21 m/s. b) The box will reach terminal speed when the drag force on it is equal to...
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...
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...
The terminal speed of a spherical particle falling in a liquid is given by 2R2g P-P) 91 v= where R is the radius of the sphere, p, is its density, p, is the density of the fluid, and n is the coefficient of viscosity. Using this equation, find the viscosity (in mPa s) of motor oil in which a steel ball of radius 0.7 mm falls with a terminal speed of 4.43 cm/s. The densities of the ball and the...