A small sphere of mass 9.20 10-5 kg and radius 7.40 10-4 m falls through a fluid of viscosity 0.36 kg/(m · s). Assume that the viscous force (or drag force) is given by Stokes' Law. (a) Calculate the viscous force (in N) when the sphere has a speed of 2.1 cm/s. (b) What is the terminal speed (in cm/s) of the sphere? cm/s
A small sphere of mass 9.20 10-5 kg and radius 7.40 10-4 m falls through a...
When an object moves through a fluid, the fluid exerts a viscous force F on the object that tends to slow it down. For a small sphere of radius R, moving slowly with a speed v, the magnitude of the viscous force is given by Stokes, law, F = 6πηRv, where η is the viscosity of the fluid. (a) What is the viscous force on a sphere of radius R = 8.9 x 10-4 m falling through water (η =...
with A small particle of radius R and density p, moving at speed vin a viscous fluid of density dynamic viscosity n experiences a drag force given by Stokes' law F= 69Rv Find an expression for the terminal velocity of the particle as it falls through the fluid under the influence of gravity which includes Pp, pg, R, and n.
Test in 1 hour please help!!!
1. A rain drop of radius 0.5 mm falls through air with terminal velocity of 2 m/s. The viscosity of air is 20*10 poise. Find the viscous force acting on the rain drop 2. A box of mass 25 kg is pulled up by a man of mass 60 kg through a pulley hanging little high above the man's height through a vertical support. While pulling, the tension in the rope over the pulley...
2. The magnitude of the viscous force on a small sphere of
radius R moving with a velocity v in a dilute gas is given by the
equation F= 6πμRv where μ is the viscosity.
2. The magnitude of the viscous force on a small sphere of radius R moving with a velocity v in a dilute gas is given by the equation gas is given by the equation Form gassphere our = 6uRy where u is the viscosity. 2.1...
A stainless steel ball (radius rsphere = 0.3175 cm, density ρsphere = 7.866 g/cm3) falls through a viscous fluid (density ρfluid = 1.2 g/cm3) and quickly reaches terminal speed v. You measure the ball’s position as a function of time to find v. The ball is at positions y = 10 cm at time 2.402 and at position y = 5 cm at time 3.26. Calculate the viscosity η of the fluid in units of poise = g/(cm-s), using your...
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would like a step by step solution please.
Calculate the terminal velocity of two steel balls falling through water. The diameters of the two balls are a) cm and b)10cm. Also calculate the Reynolds number for the 10cm sphere. The forces acting on each sphere are gravity, buoyancy and drag Setting up the force equation mg At terminal velocity, the acceleration is zero, as is the net force. Vpsg-Vpwg- 0 1.003 x 10-3 Pa s for water at 20°C...
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...
organisms. If we have a sphere moving in a fluid of density ρ and viscosity μ, and the sphere has a radius R and speed r and drag coefficient Co, then the drag and viscous forces are given by these equations: 2. in this problem, we'll estimate which resistive force- viscous force or drag force-dominates for two different The Reynolds number is given by Re ()Rv. For air and water, we can use the densities and viscosities in the table...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
A metal sphere of radius r falls vertically at a speed v through a liquid. As it falls, it experiences a drag force F which is given by F = Arv, where A is a constant. Determine the S.I. base units of the constant A.