Viscosity of most fluids can be represented by an extra \"drag\" force on a body

Question

Viscosity of most fluids can be represented by an extra "drag" force on a body moving in a liquid. For a body of spherical shape, the drag force is reasonably well approximated by Fdrag = 6(pi)nRv, where v is the velocity of the body and n is a parameter of the fluid. The presence of viscosity leads to a "terminal velocity" of a body falling in a fluid (e.g., a person falling in air). Consider a sphere of radius R and density p(s) falling through a fluid of density p and viscosity parameter n. Find an expression for the terminal velocity of the sphere.

Explanation / Answer

mg = F_drag mg = 6(pi)nRv (v_{term} = mg/6pieta r)

Related Questions

Navigate

• Browse (All)
• Browse V
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.