An object moving in a liquid experiences a linear drag force: D⃗ =(bv, direction opposite the motion), where b is a constant called the drag coefficient. For a sphere of radius R, the drag constant can be computed as b=6πηR, where η is the viscosity of the liquid.
Water at 20∘C has viscosity η=1.0×10−3Ns/m2. Suppose a 1.0-cm-diameter, 1.2 g marble is shot horizontally into a tank of 20∘C water at 15 cm/s . How far will it travel before stopping?
An object moving in a liquid experiences a linear drag force: D⃗ =(bv, direction opposite the...
An object moving in a liquid experiences a linear drag force: D⃗ =(bv, direction opposite the motion), where b is a constant called the drag coefficient. For a sphere of radius R, the drag constant can be computed as b=6πηR, where η is the viscosity of the liquid. Water at 20 ∘C has viscosity η=1.0×10−3Ns/m2. Suppose a 4.4-cm-diameter, 34 g ball is shot horizontally into a tank of 20 ∘C water. How long will it take for the horizontal speed...
Large objects have inertia and tend to keep moving-Newton's first law. Life is very different for small microorganisms that swim through water. For them, drag forces are so large that they instantly stop, without coasting, if they cease their swimming motion. To swim at constant speed, they must exert a constant propulsion force by rotating corkscrew-like flagella or beating hair-like cilia. The quadratic model of drag given by the equation, D⃗ = (12CρAv2, direction opposite the motion), fails for very...
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...