Physics Problem: Find expression for terminal speed?
Very small objects, such as dust particles, experience a linear drag force, D⃗ = (bv, direction opposite the motion), where b is a constant. For a sphere of radius R, the drag constant can be shown to be b=6πηR, where η is the viscosity of the gas.
Find an expression for the terminal speed vterm of a spherical particle of radius R and mass m falling through a gas of viscosity η.
- billrussell42Lv 71 month agoFavorite Answer
at terminal speed, drag force = weight = mg
mg = (6πηR)V
V = mg/(6πηR)