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Forces acting over an object that is moving th...

Forces acting over an object that is moving through a fluid (Photo credit: Wikipedia)

Based on File:Stokes sphere.svg, SVG of File:T...

Based on File:Stokes sphere.svg, SVG of File:Terminal Velocity.png. (Photo credit: Wikipedia)

ABSTRACT:

The goal of the study was to formulate mathematical relationships between the dimensions of a conical body, the viscocity of a fluid, the velocity of the body as it falls through the fluid, and the drag force that the body experiences as it falls. The study employed stroboscopic photography to observe the conical bodies as they fell through the fluid medium. A total of seven steel cones of varying dimensions were used. The fluid media involved were water-glycerol solutions with varying concentrations. Results showed that the base diameter to height ratio of a cone varied inversely with the terminal velocity and therefore directly with drag force for ratios greater than 1:2. For ratios less than 1:2, the relationship of the base to height ratio was inverse. Results also supported the belief that drag force is directly related to the viscosity of a fluid. It was also concluded that, for small sizes, the base up or base down orientation of a cone has no effect on the terminal velocity and drag force. READ MORE