How can a spinning ball have more lift than one that is not spinning? please explain your answer

All that is necessary to create lift is to turn a flow of air. The airfoil of a wing turns a flow, and so does a rotating cylinder. A spinning ball also turns a flow and generates an aerodynamic lift force.

The details of how a spinning ball creates lift are fairly complex. Next to any surface, the molecules of the air stick to the surface, as discussed in the properties of air slide. This thin layer of molecules entrains or pulls the surrounding flow of air. For a spinning ball the external flow is pulled in the direction of the spin. If the ball is not translating, we have a spinning, vortex-like flow set up around the spinning ball, neglecting three-dimensional and viscous effects in the outer flow. If the ball is translating through the air at some velocity, then on one side of the ball the entrained flow opposes the free stream flow, while on the other side of the ball, the entrained and free stream flows are in the same direction. Adding the components of velocity for the entrained flow to the free stream flow, on one side of the ball the net velocity is less than free stream; while on the other, the net velocity is greater than free stream. The flow is then turned by the spinning ball, and a force is generated. Because of the change to the velocity field, the pressure field is also altered around the ball. The magnitude of the force can be computed by integrating the surface pressure times the area around the ball. The direction of the force is perpendicular (at a right angle) to the flow direction and perpendicular to the axis of rotation of the ball.

On the figure at the left, we show the geometry of the spinning ball. A ball of radius b rotates at speed s measured in revolutions per second. A black dashed line indicates the axis of rotation of the ball, and the ball rotates clock-wise, when viewed along the axis from the lower left. The ball has been sliced into a large number of grey-colored sections along the axis of rotation. The air with velocity V and density rho strikes the ball from the upper left. The resulting lift force L is perpendicular to the air velocity and the axis of rotation.

To determine the ideal lift force on the ball, we consider the spinning ball to be composed of an infinite number of very small, grey-colored, rotating cylinders. Adding up (integrating) the lift of all of the cylinders along the axis gives the ideal lift of the ball.

The Kutta-Joukowski lift theorem for a single cylinder states the lift per unit length L is equal to the density rho of the air times the strength of the rotation Gamma times the velocity V of the air.

development:   floodplain development often directly impacts wetlands by removing vegetation (increasing bank erosion),   and filling or draining wetlands for building sites.   floodplain development sometimes indirectly impacts riparian wetlands through the installation of artificial stream stabilizing devices like rip-rap and bulk-heads that attempt to stop the natural meandering process which creates new wetlands and replenishes existing ones.    

road building:   most river valleys have roads and/or railroads.   these structures squeeze rivers and streams by narrowing the floodplain.   this destabilizes the river which   has less room to meander and therefore has an excess of energy.   the roads and railroads also affect drainage from uplands onto the floodplains, and many are built on top of areas that once were wetlands.   such roads often create long, low-quality wetlands upslope of the road by interrupting surface and groundwater flows.   these wetlands can attract wildlife dangerously close to roads.   wetland loss caused by roads is mitigated through the restoration of other impacted wetlands although the replacement wetlands are not always of the same type and quality as those lost. see montana department of transportation's off-site wetland mitigation reserves map.

grazing: overgrazing harms wetlands through soil compaction, removal of vegetation, and stream bank destabilization.   wetlands offer some of the best forage for livestock as well as a water source and cover, so livestock tends to spend a disproportionately large time in wetlands.   there are many grazing strategies that discourage cattle from using wetlands. click on rwrp's web site for a discussion of these strategies.

agriculture:   wetlands often have fairly flat areas of rich organic soil that is highly productive agricultural land if drained.   for this reason many wetlands have been drained and converted to agricultural lands.  

mining: historic mining has had a major impact on wetlands of the clark fork basin, particularly along the upper river where mine wastes have been deposited in the floodplain, creating the country’s largest superfund site. view the superfund site.  

the epa also list the following as major human causes of wetland loss:   logging,   runoff, air and water pollution, introducing nonnative species. see examples of nonnative species here.

the following lists specific damaging actions commonly taken in wetlands.

dumping:   dumping fill material buries hydric soils and effectively lowers the water table so hydrophytic (water loving) plants cannot compete with upland plants.  

            dredging:   the removal of material from a wetland or river bed.   dredging of streams lowers the surrounding water table and dries up adjacent wetlands.

            draining:   water is drained from wetlands by cutting ditches into the ground which collect and transport water out of the wetland.   this lowers the water table and dries out the wetland.    

            diverting flow:   water is diverted around wetlands, lowering the water table.  

            devegetation:   vegetation plays an important role in wetland ecology by removing water through evapotranspiration, altering water and soil chemistry, providing habitat for wildlife, and reducing erosion.   removal of vegetation can drastically and sometimes irreversibly alter wetland function.

            damming flow:   many ponds and reservoirs are constructed on wetlands.   a flooded wetland cannot provide the same habitats and functions.  

            development of springs:   pumping large quantities of water from springs lowers nearby groundwater and can result in the loss of wetland vegetation.   compaction of springs by cattle can cause springs to cease to flow.

explanation:

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