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.

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  • 1 month ago
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    at terminal speed, drag force = weight = mg

    mg = (6πηR)V

    V = mg/(6πηR)

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