Objective:  to determine the viscosity of Karo syrup

 Theory:  An object falling through a viscous medium will reach a terminal velocity (constant velocity, no acceleration) when the sum of the  buoyant force and the viscous force equals the force of gravity.  For a sphere of radius (r) in a fluid of density (r),

             F_buoyancy  +   F_viscosity  =  F_gravity

 F_b  =  4/3 p r³ r g         F_{v  =}  6 p h r v_t        F_g  =  m g

 where v_t is the terminal velocity and h is the viscosity.    g is given as 9.807 m/s²

 Procedure:

 1.  Determine the density of the Karo syrup.  Record this and the temperature of the syrup.

2.  Measure diameter of ball bearings (two sizes).  Record radius of each type bearing.

3.  Find average mass of each type ball bearing.

 4.  Using rulers,  stop watches,  graduated cylinders  determine the average terminal velocity of 10 of the small ball bearings.   Velocity is defined as distance traveled divided by time taken. Then repeat for the larger ball bearings.  Record all data.

5.  Using the  formula:  F_buoyancy  +   F_viscosity  =  F_gravity        solve for the viscosity of the syrup first using your terminal velocity average for the small ball bearings and then for the larger bearings.

6.  Compare the viscosities you just found (percent difference formula).

 7.  Compare the average of the two viscosities with the known value for Karo syrup (get that from me,  using percent error formula).

 final formula registration:   4/3 p r³ r g    +    6 p h r v_t    =    m g      (and you must solve for h)

 Report should include all data in clean, tabular format along with all mathematical work.  Show all your set-up work, with units, to receive credit.   Place final viscosities along with percent difference and percent error in a table as well.