As an object moves slowly through a viscid fluid, the drag force on the object is proportional to its
Group of answer choices
speed squared.
speed.
acceleration.
acceleration squared.
As an object moves slowly through a viscid fluid, the drag force on the object is...
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 =...
An object falling through air experiences a drag force that is proportional to the square of its speed. If its cross-sectional area is defined as A, its terminal speed is proportional to: A. A-1 B. A1/2 C. A2 D. A-1/2
2. For "sufficiently large" objects moving "sufficiently fast" through a fluid (i.e. for large Reynolds numbers), the drag force on the object is proportional to the square of its ve- locity (quadratic drag). In this limit, we can ignore viscosity and argue this dependence from kinetic considerations. (a) (2 points) Suppose a sphere of radius R moves with speed v through a fluid with mass density ρ. In a small time interval dt, what is the mass m of fluid...
Any object moving in a fluid experiences a drag or viscous force opposing its motion. Assume the object is spherical and the flow around it is laminar. For an object of radius 0.25m moving in honey at 70F (viscosity 20 Pa.s), what is the drag force at a speed of 0.1 m/s? If the object is moving horizontally and at the same constant speed of 0.1 m/s, a force must be exerted on it to maintain that motion. That means...
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...
MCE 354 Name A small object (prototype) of dimension 1 mm moves slowly in water. A scale model 100 times larger is tested in glycerin at a velocity of 30 cm/s. The measured drag on the model is 1.3 Newton. Assume the force F on an immersed body in a fluid depends on body length, stream velocity, density and viscosity. (a) Use dimensional analysis to find important dimensionless groups use 5,V,L as Core b) Use similarity analysis to find velocity...
If a dense 20.0-kg object is falling in air at half its terminal velocity (drag force is proportional to the square of the object’s speed), what is the drag force on the object at this moment? a. 25 N b. 50 N c. 75 N d. 100 N e. 150 N
The drag force on a cannonball falling through the air does not depend upon what factor? Group of answer choices the density of air the cannonball's cross-sectional area the cannonball's mass the cannonball's drag coefficient with air the cannonball's speed
If a single constant force acts on an object that moves on a straight line, the object's velocity is a linear function of time. The equation v=vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi-vx, where k is a...
Problem 36 bclow presents a model describing the drag of a fluid medium that is released from rest at time t 0 (same initial conditions). Using Newton's Second Law, you build a model of the form particle moving through a (governing equation (initial velocity) mi mg-F drag '0 (0)(0)a (t) is the particle's position, m is the mass of the particle, g is the acceleration due to gravity, and Fa is the magnitude of the drag force. You account for...