Hey, thanks for posting this. Great explanation. Just one question: At 7:49 why is the cross product of the velocity and vorticity pointed in the direction opposite to that obtained by crossing the two vectors by right-hand rule? Shouldn't it be pointing upwards?
Yes it's should be pointing upwards, but I guess he took -w instead of w, because v × w is (-w × v), hence the inward direction. But although I am not why he didn't go by v × w instead.
Newtonian laws of force and motion when applied to the angular velocity of a rotating spherical body, when crossed by an implied gravitational force that pulls toward the center mass of the body produces a force vector graph that shows angular velocity at a 90* right angle to gravity unopposed at the poles that changes incrementally at each latitude from 90* unopposed to directly opposed at the equator of the spherical body. The only place where both forces could find balance. Newtonian laws of force and motion predict that if Earth were a spinning sphere with gravity pulling towards its center of mass all unrestricted water on its surface would necessarily have to follow the vector angles produced to the equator and then upward to the point where gravity's fixed and angular velocities increasing forces were equal, but since angular velocity increases with radius it will overtake gravity at some point and propel the water out in a disk and off of the Earth. Now tell me again about gravity and our spinning globe planet with polar seas. Please?
Would Mr. Shapiro imagine that, 60 years later, an aerospace engineering student, more than 10000 miles away from the USA, would have been studying from his books and videos?
The educational videos from this time period are so simple and clear, some of the old Army films are also great.
moment of momentum = angular momentum
I was trying to understand this impression, thanks.
This is really a very informative video briefing about both empirical and theoretical parts of vorticity and circulation
I always confuse between these term in FM now clear....far much better class understanding than my universities classes.
Video is 240p but quality is the best known.
better than any 3D animation!
Hey, thanks for posting this. Great explanation. Just one question:
At 7:49 why is the cross product of the velocity and vorticity pointed in the direction opposite to that obtained by crossing the two vectors by right-hand rule? Shouldn't it be pointing upwards?
Yes it's should be pointing upwards, but I guess he took -w instead of w, because v × w is (-w × v), hence the inward direction. But although I am not why he didn't go by v × w instead.
Newtonian laws of force and motion when applied to the angular velocity of a rotating spherical body, when crossed by an implied gravitational force that pulls toward the center mass of the body produces a force vector graph that shows angular velocity at a 90* right angle to gravity unopposed at the poles that changes incrementally at each latitude from 90* unopposed to directly opposed at the equator of the spherical body. The only place where both forces could find balance.
Newtonian laws of force and motion predict that if Earth were a spinning sphere with gravity pulling towards its center of mass all unrestricted water on its surface would necessarily have to follow the vector angles produced to the equator and then upward to the point where gravity's fixed and angular velocities increasing forces were equal, but since angular velocity increases with radius it will overtake gravity at some point and propel the water out in a disk and off of the Earth.
Now tell me again about gravity and our spinning globe planet with polar seas. Please?
this lecture will go down in history
Thanks! This really connects the dots for stokes theorem.
wow.....this guy's better than my prof...
is Vorticity a synonym for "curl" ?
The vorticity is defined as the curl of the flow velocity vector.
Curl is a mathematical operation, vorticity is term defined in fluids
Would Mr. Shapiro imagine that, 60 years later, an aerospace engineering student, more than 10000 miles away from the USA, would have been studying from his books and videos?
thank you very much for sharing this!!!
Really god video, but quality let desire... hugs from argentina!! messi n°1!!!!
thank very much for uploed this video
Thanks for sharing this!!!
Hello to all of Dr. Ghosh's students.
thank you
Dr. Ascher H. Shapiro
cool
@369malign