Your answers need to have 4 significant figures. (a) What are the actual and app

Question

     Your answers need to have 4 significant figures.
     (a) What are the actual and apparent weights of the cylinder?

mg =  N

Wapp =  N

     (b) What is the magnitude of the buoyant force on the cylinder when it's suspended in the fluid?

FB =  N

     (c) Write a symbolic expression for the volume of the cylinder then calculate its numeric value.

Vcyl =  =  m3

     (d) Write a symbolic expression for the density of the fluid then calculate its numeric value.

f =  =  kg/m3

     (e) Suppose that a floor scale was used to measure the weight of the fluid-filled beaker with and without the cylinder.
          How much would the reading on the floor scale change when the cylinder was suspended in the beaker of fluid?
    

Floor Scale with Cylinder:  N

Problem #2.
A brass cylinder with uniform density,
b = 8520 kg/m3, is hung from a spring scale
by a lightweight string as shown in the figure.

When the cylinder was suspended in air (A),
the tension in the string was TA = 657.0 N.

When completely submerged in an unknown
fluid (B), the tension was TB = 578.7 N.

You can neglect the weight of the string.

SYMBOLIC VARIABLES
b, TA, TB, and g.

Explanation / Answer

a) actual weight of the cylender

mg = TA = 657.0 N

Wapp = TB = 578.7N

b) buoyant force

FB = TA-TB =78.30 N

c) volume of cylender

Vcyl = m/b

m = TA/g

=> Vcyl = TA/gb = 657/(9.8x8520) = 7.869 x10-3m3

d) f = FB/gVcyl = 78.3/(9.8x7.869x10-3) =1015.3 kg/m3

e) the change in reading = buoyant force = FB = 78.30 N

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