Estimate the terminal speed of a wooden sphere (density 0.870 g/cm3) falling thr

Question

Estimate the terminal speed of a wooden sphere (density 0.870 g/cm3) falling through air, if its radius is 8.50 cm and its drag coefficient is 0.500. (The density of air is 1.20 kg/m3.) Estimate the terminal speed of a wooden sphere (density 0.870 g/cm3) falling through air, if its radius is 8.50 cm and its drag coefficient is 0.500. (The density of air is 1.20 kg/m3.) Estimate the terminal speed of a wooden sphere (density 0.870 g/cm3) falling through air, if its radius is 8.50 cm and its drag coefficient is 0.500. (The density of air is 1.20 kg/m3.)

Explanation / Answer

given that density of the sphere is d=0.870g/cm^3=870kg/m^3   radius of the sphere is r=0.085m mass of the sphere will be m=d*4/3pr^3=2.238kg drag coefficient c=0.500 density of air is ?=1.20kg/m^3 surface area of the sphere is A=4pr^2= 0.0907m^2 terminal velocity V=v(2mg/?Ac)                             =28.39m/s

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