A student in an undergraduate physics lab is studying Archimede's principle of bouyancy. The student isgiven a brass cylinder and using á triple beam balance finds the mass to be 1.25 kg. The density of thisparticular alloy of brass is 8.32 g/cm3. The student ties a massless string to one end of the cylinder andsubmerges it into a tank of water where there is an apparent reduction in the weight of the cylinder. Withthis information, calculate the volume of the cylinder and the tension in the string when it was submergedin the tank of water. The density of water is 1.00 g/cm3 and the acceleration due to gravity is g 9.81 m/s2NumberV=NumberT=

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Asked Nov 13, 2019
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A student in an undergraduate physics lab is studying Archimede's principle of bouyancy. The student is
given a brass cylinder and using á triple beam balance finds the mass to be 1.25 kg. The density of this
particular alloy of brass is 8.32 g/cm3. The student ties a massless string to one end of the cylinder and
submerges it into a tank of water where there is an apparent reduction in the weight of the cylinder. With
this information, calculate the volume of the cylinder and the tension in the string when it was submerged
in the tank of water. The density of water is 1.00 g/cm3 and the acceleration due to gravity is g 9.81 m/s2
Number
V=
Number
T=
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A student in an undergraduate physics lab is studying Archimede's principle of bouyancy. The student is given a brass cylinder and using á triple beam balance finds the mass to be 1.25 kg. The density of this particular alloy of brass is 8.32 g/cm3. The student ties a massless string to one end of the cylinder and submerges it into a tank of water where there is an apparent reduction in the weight of the cylinder. With this information, calculate the volume of the cylinder and the tension in the string when it was submerged in the tank of water. The density of water is 1.00 g/cm3 and the acceleration due to gravity is g 9.81 m/s2 Number V= Number T=

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Expert Answer

Step 1

Consider the mass of the brass cylinder be m, the weight of the cylinder be w, the density of the alloy of the brass be ρ, the volume of the cylinder be V, the buoyance force, that acts on the cylinder, be Fb, the tension in the string be...

т
р 3D
V
т
V =
1.25 kg
8.32 g/cm
1000 g
1.25 kg
1 kg
8.32 g/cm
= 150.24 cm3
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т р 3D V т V = 1.25 kg 8.32 g/cm 1000 g 1.25 kg 1 kg 8.32 g/cm = 150.24 cm3

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