SF 1: Quadratic Resistive Forces In lecture, we derived the velocity of a falling object subject...

SF 1: Quadratic Resistive Forces

In lecture, we derived the velocity of a falling object subject to resistive force linear in velocity (n = 1). In a fluid, a better phenomenological (experimentally motivated) model of drag is a force quadratic in velocity. That is, consider a resistive force of the form

R = −bv2, (1)

where b is a constant that depends on specific properties of the object and fluid.
a) What are the dimensions b?
b) Explain the physical meaning of b in terms of properties of the object and of the fluid.c) Write down the force equation for an object of mass m falling vertically in a fluid while subject to the quadratic resistive force.
d) Compute the terminal velocity vT in terms of m, g and b.

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Expert Solution

genius_generous answered 2 years ago

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