Fluid Mechanics problem?

Question

a lead sphere and a aluminum sphere have the same mass and are uniform. What is the ratio of the radius between the aluminum sphere and the lead sphere?Lead density 11.3x10^3Aluminum density 2.7x10^3If i could just get some guidance on how to set up this problem that would be great. thanks for any help.

Dr. Juanita Wolff · Accepted Answer

You just need to know the formula for the volume of a sphere (vol = 4/3pir^3, where r is the radius) and the relationship between density, mass, and volume ( mass = density * volume ). Then Pb_density / Al_density = (Pb_mass/Pb_volume) / (Al_mass/Al_volume) = (mass/Pb_volume)/(mass/Al_volume) -- this last because the masses are the same.SoAl_volume/Pb_volume = Pb_density/Al_density ~ 4.19.Thus,(4/3piAl_radius^3) / (4/3piPb_radius^3) ~ 4.19 (and this makes sense, because you'd expect the Al sphere to be a bit larger than the lead sphere if they have the same mass). So (Al_radius / Pb_radius) ^3 ~ 4.19==> Al_radius/Pb_radius ~ (4.19)^(1/3) ~ 1.6. The Al sphere will be 1.6 times the radius of the Pb sphere.

Dr. Juanita Wolff · Answer

A uniform lead sphere and a uniform aluminium sphere have the same mass what is the ratio of the radius of aluminium sphere to the radius of the lead sphere?

Dr. Juanita Wolff · Answer

a uniform lead sphere and a uniform aluminum sphere have the same mass. what is the ratio of their radius

Harmon Keeling

Fluid Mechanics problem?

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