Up out of the north pole. (And down into the south pole.)
The Earth's angular velocity vector due to its axial rotation points towards the north pole.
Yes, angular velocity is a vector quantity
vector
Scalar. Angular frequency vector is roughly synonymous with angular velocity.
Because it's a type of velocity and velocity is vector quantity
Angular velocity is a vector with a direction and angular speed is a scalar with no direction.
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
Angular velocity is given as radians per second; angular speed is also the same thing. Velocity is a vector with magnitude and direction and speed a scalar with magnitude only. The magnitude is identical; velocity will define the direction of rotation ( clockwise or counterclockwise).
Without looking it up, I'll go out on a limb here and state my guess. (Then somebody else can come along and show that my guess was all wet.) I think angular velocity and acceleration are both right-hand-rule guys, with vectors formed by (R) cross (rotation direction). If true, and rotation is from west to east (counterclock viewed from above the north pole), then the angular velocity vector points into the south pole and out of the north pole. Correction: You have stated the true method for the answer above, but got the opposite answer. Since the earth rotates in a counter-clockwise direction viewed from the north pole, the angular velocity vector would point from the center of the earth to the north pole. It's magnitude would be the angular velocity of the earth's spin. -J I think that's exactly what I said ... " ... out of the north pole". Ah I see, my apologies. I think where I was confused was where you stated "into the south pole..." Instead you can state that it would originate from the center and point towards the north pole. You can rewrite it and delete our discussion :)
Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity) mr2 is nothing but the moment of inertia of the moving body about the axis of rotation. Hence L = I w.
In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. Angular frequency (or angular speed) is the magnitude of the vector quantity angular velocity. The term angular frequency vector is sometimes used as a synonym for the vector quantity angular velocity.[1]One revolution is equal to 2π radians, hence[1][2]whereω is the angular frequency or angular speed (measured in radians per second), T is the period (measured in seconds), f is the ordinary frequency (measured in hertz) (sometimes symbolised with ν),
By finding the direction of angular velocity because it's always parallel to it.