Question

Forces that are dependent on VELOCITY are DRAG FORCES. These forces are due to the reaction of the medium to the motion of the object. There are two sorts of these: LINEAR, or VISCOUS drag, models forces proportional to the velocity of the object and occurs in DIFFUSE media at SLOW speeds, and QUADRATIC, or TURBULENT, drag models forces proportional to the square of the velocity and occur in DENSE media or at HIGH speeds.

1. A ball with a mass of 185 g falls in oil with a viscous damping coefficient of 53.77 g/s. The speed of the ball has a functional form of:
v(t) = v₀ e^-?t
(a) What is the speed v₀

(b) What is the damping rate ?? [In Hertz]

(c) How long does it take for the bead to reach 90% of its terminal speed?

Answer 1