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Mechanical Properties Of Fluids

Question

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If the terminal speed of a sphere of gold (density = 19.5 kg/m3 ) is 0.2 m/s in a viscous liquid (density = 1.5 kg/m3 ) of the same size in the same liquid.

0.2 m/s

0.4 m/s

0.133 m/s

0.1m/s

Solution

D.

0.1m/s

straight V subscript straight s over straight V subscript straight g space equals space fraction numerator left parenthesis straight p subscript straight s minus straight p subscript calligraphic l right parenthesis over denominator left parenthesis straight rho subscript straight g minus straight rho subscript calligraphic l right parenthesis end fraction straight v subscript straight s space equals space 0.1 space straight m divided by straight s

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