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.
Angular velocity is a vector quantity that describes the rate of rotation of an object about an axis. It has both magnitude (how fast the object is rotating) and direction (the axis of rotation). Scalar angular velocity only considers the magnitude of the rotation rate without specifying the direction.
The direction of angular velocity in a rotating wheel can be found using the right-hand rule. If you curl your fingers in the direction the wheel is rotating, then your thumb points in the direction of the angular velocity vector. This rule helps determine whether the angular velocity is clockwise or counterclockwise relative to the rotation.
Yes, angular velocity is a vector quantity
Angular acceleration is a vector quantity because it has both magnitude (rate of change of angular velocity) and direction in rotational motion. The direction of angular acceleration aligns with the axis of rotation it is acting upon.
Angular acceleration is a vector quantity that points along the axis of rotation according to the right-hand rule. This means if you curl the fingers of your right hand in the direction of rotation, your thumb points in the direction of angular acceleration.
Yes, suppose a body is rotating anti-clockwise, then its angular velocity and angular momentum, at any moment are along axis of rotation in upward direction. And when body is rotating clockwise, its angular velocity and angular momentum are along axis of rotation in downward direction. This is regardless of the fact whether angular velocity of the body is increasing or decreasing.
Because it's a type of velocity and velocity is vector quantity
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 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).
The right-hand rule for angular displacement states that if you align your fingers in the direction of rotation, your thumb points in the direction of the angular displacement vector. This rule helps determine the direction of rotation or angular displacement in a given scenario.
One physical example of a vector perpendicular to its derivative is angular momentum in the case of rotational motion. The angular momentum vector is perpendicular to the angular velocity vector, which is the derivative of the angular displacement vector. Another example is velocity and acceleration in circular motion, where velocity is perpendicular to acceleration at any given point on the circular path.