Explain with the help of Bernoulli’s principle that why does a spinning ball follows a curve path during flight ?
Explain with the help of Bernoulli’s principle that why does a spinning ball follows a curve path during flight ?
$(i)$ Ball moving without spin :
In above figure, the streamlines around a non-spinning ball moving relative to the fluid.
It is clear that the velocity of fluid (air) above and below the ball at corresponding points is the same resulting in zero pressure difference.
Air therefore, exerts no upward or downward force on the ball.
Ball moving with spin : As a result there is an upward force resulting in a dynamic lift of the wings.
Streamlines for a fluid around a sphere spinning clockwise
In above figure a spinning ball is shown.
A spinning ball drags air along with it.
If surface is rough more air drags.
The crowding of streamlines at above the ball indicates high velocity and low pressure, while the sparse streamlines below the ball indicates low velocity and high pressure.
Thus difference in velocities of air results in the pressure difference between the lower and upper faces and there is a net upward force on the ball.
This dynamic lift due to spinning is called Magnus effect.
Similar Questions
A wind with speed $40\,\, m/s$ blows parallel to the roof of a house. The area of the roof is $250\, m^2.$ Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be $(\rho _{air} = 1.2 \,\,kg/m^3)$
A wind with speed $40\,\, m/s$ blows parallel to the roof of a house. The area of the roof is $250\, m^2.$ Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be $(\rho _{air} = 1.2 \,\,kg/m^3)$
- [AIPMT 2015]
Why two rowing boats moving parallel to each other come closer (attract) to each other ?
Why two rowing boats moving parallel to each other come closer (attract) to each other ?
Obtain Bernoulli’s equation for steady, incompressible, irrotational and viscous liquid.
Obtain Bernoulli’s equation for steady, incompressible, irrotational and viscous liquid.
Can Bernoulli’s equation be used to describe the flow of water through a rapid in a river? Explain.
Can Bernoulli’s equation be used to describe the flow of water through a rapid in a river? Explain.
Given below are two statements :
Statement $I$ : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation $\mathrm{P}_1-\mathrm{P}_2=\rho \mathrm{g}\left(\mathrm{h}_2-\mathrm{h}_1\right)$
Statement $II$ : In ventury tube shown $2 \mathrm{gh}=v_1^2-v_2^2$
In the light of the above statements, choose the most appropriate answer from the options given below.
Given below are two statements :
Statement $I$ : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation $\mathrm{P}_1-\mathrm{P}_2=\rho \mathrm{g}\left(\mathrm{h}_2-\mathrm{h}_1\right)$
Statement $II$ : In ventury tube shown $2 \mathrm{gh}=v_1^2-v_2^2$
In the light of the above statements, choose the most appropriate answer from the options given below.
- [JEE MAIN 2024]