The Magnus effect is an observable phenomenon that is commonly associated with a spinning object moving through air or another fluid. The path of the spinning object is deflected in a manner that is not present when the object is not spinning. The deflection can be explained by the difference in pressure of the fluid on opposite sides of the spinning object. The Magnus Effect depends on the speed of rotation.
The most readily observable case of the Magnus effect is when a spinning sphere (or cylinder) curves away from the arc it would follow if it were not spinning. It is often used by football players, baseball pitchers, and cricket bowlers. Consequently, the phenomenon is important in the study of the physics of many ball sports. It is also an important factor in the study of the effects of spinning on guided missiles—and has some engineering uses, for instance in the design of rotor ships and Flettner aeroplanes.
Topspin in ball games is defined as spin about a horizontal axis perpendicular to the direction of travel that moves the top surface of the ball in the direction of travel. Under the Magnus effect, topspin produces a downward swerve of a moving ball, greater than would be produced by gravity alone. Backspin produces an upwards force that prolongs the flight of a moving ball. Likewise side-spin causes swerve to either side as seen during some baseball pitches, e.g. slider. The overall behaviour is similar to that around an aerofoil (see lift force), but with a circulation generated by mechanical rotation rather than airfoil action.The Magnus effect is named after Heinrich Gustav Magnus, the German physicist who investigated it. The force on a rotating cylinder is known as Kutta–Joukowski lift, after Martin Kutta and Nikolai Zhukovsky (or Joukowski), who first analyzed the effect.
Hello,
I'm currently doing a school essay on the Magnus Effect, but I'm having a problem regarding a contradiction between my measurements and calculations.
The experiment consists of letting go of rolled A4 paper cylinders on top of a ramp set on a table so that when the cylinder rolls down...
I have made a simulation of a table tennis ball being hit and landing on the table. There are 5 differential equations that are integrated to compute the horizontal position, horizontal velocity, vertical position, vertical speed and spin. by integrating 5 differential equations simultaneously...
Hello,
I would like to ask one question. What is the equation for the lift force of a rotating sphere when flying through the air:
m = 0.25 g
v = 130 m/s
angular velocity = 105 rad/s
radius = 3 mm
air density = 1.2292 kg/m^3
air pressure = 101200 Pa
air temperature = 15 °C = 288.15 K
If anyone...
I am trying to add to a problem of mine the viscosity parameter, simulating the fly of a ball. However I obtain the following equations
d^2V_z/dt^2 = WdV_z/dt - dV_x/dt and d^2V_x/dt^2 = WdV_x/dt - dV_z/dt where W is a function linearly dependant to t. Any ideas how I could analytically solve...
Let's focus on obtaining how much will the ball deviate from a straight path and assume the spin of the ball to be ##11600## rpm and ##C_L = 0.4## to be the lift coefficient
A pitcher is able to make a baseball follow a curved path by impinging spin on the ball (which triggers nonsymmetric...
I have observed that when i throw a card and give it a angular velocity, it "aim" to vertical and depending on direction start to rotate. For example if it rotates to the left in horizontal, vertically left side of cart goes up and right goes down. Conversely for the right rotation. I am not...
Hello, if i shoot a 6mm 0.3g bb down my 300mm barrel at 350 fps what is the maximum topspin i can give to the bb to make it touch the ground 50m away, if i shoot my gun at a 45° angle?
Is the bb going to immediately touch the ground as soon as it go out of the barrel due to the magnus effect...
Hi
I have been reading some internet articles that state the Bernoulli equation does NOT explain the Magnus Effect. The articles state that the effect is due to circulation (Bernoulli requires inviscid flows)
Could someone explain the cause of the Magnus effect without reference Bernoulli's...
Hi.
All technical implementations of the Magnus effect I can find on Google (such as ships) seem to use fairly smooth cylinders. Why? Shouldn't the efficiency increase with increasing friction between cylinder and fluid, for example with a rough surface or even attaching blades?
I am coding a game in which I desire a projectile to undergo realistic curving when rotating while moving through the air. Let's consider the instance of a projectile that is initially moving forward while spinning clockwise along an axis placed vertically in it is center of mass. The object...
So I've been investigating the magnus effect for I guess 2 weeks, but I've not been able to find a formula that would seem to be the correct formula. I did find some formula, but I have my doubts about the completeness/correctness of all of these formulas. Note that I am trying to simulate what...
Mr lee said: ↑
hi -new but enjoyed years, wit and wisdom
Flettner rotor on a boat - ie. magnus effect
Can the vertical rotor create lift?
a curve balls 'laces' exaggerate and bend the magnus effect.
can you replicate this effect on a rotor?
--perhaps to enable another direction of force-- up...
I am working on simulating the magnus effect of lift on a spinning ball. Right now spinning on the z axis I can calculate the force effect it has on the x and y coordinates.
If I am to add spin on the x do I do the exact same calculations effecting the y and z coords and just add them to the z...
Hello,
I am studying Magnus Effect for the first time, I would like some help here, please.
The formula for Magnus effect as shown was:
[F][/m] = S (v × ω)
Where v = velocity of fluid,
ω = angular velocity,
S = air resistance coefficient across the surface of sphere.
How can I...
I'm currently doing a project for my A-Level Physics group, and I have chosen to look into the Magnus Effect, however, I'm struggling to find an equation for it? Really need help here! Thank you!
I can't find authorative sources on whether the magnus effect works on the solar wind.
I thought the solar wind was mostly particles, not a fluid medium, and therefore it would not.
I thought this was the reason for the flat nature of solar sails. If the solar wind acted like a fluid medium...
I was wondering which of these air resistance or magnus affect plays a role in the distance traveled by a ball more for a top spinning ball
my thoughts would be that with both these effects the distance of the ball would travel less
Please answer my question to satisfy my curiosity :D
I realize I may way out of my depth here...
but i thought i'd jump in anyway.
so that's the question...is there a specific formula?
feel free to call me an idiot if I've got this all wrong :P
Cheers
Tony
EDIT:
sorry, i forgot a bit of background...
so I'm doing a physics...
Hi,
I need some help as I’m a bit confused, subsequently, Magnus has stated that due to the velocity of the air around the spinning cylinder there will be a difference of pressure and therefore lift, whereas, Bernoulli said that there will be a lower pressure where the fluid will travel...
Hi,
Is it right to assume that, since F = ma, that the magnus force has an impact on the acceleration of the spinning object, which in turn leads to a change in its velocity?
I need to program an application that simulates a corner in soccer. This involves calculating the viscous and...
Hi,
I was looking at the NASA website's FoilSim application (google it) and for spinning objects, there is a maximum rpm. I was wondering why there were maximum/restricted rpms, so I emailed a NASA guy with the question. He said that the FoilSim App was for middle school students and that...
Hi,
I was looking at the NASA website's FoilSim application (google it) and for spinning objects, there is a maximum rpm. I was wondering why there were maximum/restricted rpms, so I emailed a NASA guy with the question. He said that the FoilSim App was for middle school students and that...
for a soccer game I'm programming, i want to calculate the position and velocity of the ball. I can get those values when I have constant acceleration, but I don't understand how to add the Magnus force. I have read some articles in the internet, and I found a formula I just can't understand...
For my article about long range artillery I was trying to calculate the magnus effect.
I first neglected air friction (which is ridiculous because without air friciton there is no magnus effect). For the magnus effect of a cylinder I used the formula:
F_{m}=2\pi \rho\ \omega v_{x}Lr^2...