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The reason for the clockwise standard for most screws and bolts is that supination of the arm, which is used by a right-handed person to tighten a screw clockwise, is generally stronger than pronation used to loosen. Sometimes the opposite (left-handed, counterclockwise, reverse) sense of threading is used for a special reason.
Counter-rotating propellers generally turn clockwise on the left engine and counterclockwise on the right. The advantage of such designs is that counter-rotating propellers balance the effects of torque and P-factor , meaning that such aircraft do not have a critical engine in the case of engine failure.
In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly. [2] [3] A rotation of axes is a linear map [4] [5] and a rigid transformation.
The counterclockwise-rotating vector (cos t, sin t) has a positive frequency of +1 radian per unit of time.Not shown is a clockwise-rotating vector (cos (−t), sin (−t)) which has a negative frequency of -1 radian per unit of time.
In the left hand diagram, the ring is rotating counter-clockwise; in the right hand diagram, it is rotating clockwise. To drive home this crucial point, compare the radar distances obtained by two ring-riding observers with radial coordinate R = R 0. In the left hand diagram at Fig. 8, we can write the coordinates of event A as
Now the stack contains the convex hull, where the points are oriented counter-clockwise and P0 is the first point. Here, next_to_top() is a function for returning the item one entry below the top of stack, without changing the stack, and similarly, top() for returning the topmost element. This pseudocode is adapted from Introduction to Algorithms.
The letters L, R, F, B, U, and D indicate a clockwise quarter turn of the left, right, front, back, up, and down face respectively. A half turn (i.e. 2 quarter turns in the same direction) are indicated by appending a 2. A counterclockwise turn is indicated by appending a prime symbol ( ′ ).
The direction of vector rotation is counterclockwise if θ is positive (e.g. 90°), and clockwise if θ is negative (e.g. −90°) for ().Thus the clockwise rotation matrix is found as