The Coriolis component of acceleration is the acceleration due to the rotation of the Earth. It causes objects moving across the surface of the Earth to be deflected to the right in the northern hemisphere and to the left in the Southern Hemisphere. This acceleration is perpendicular to the velocity of the object and is a result of the Coriolis effect.
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The Coriolis component of acceleration in a slotted lever-crank mechanism is directed perpendicular to the velocity of the moving part along its path of motion. This acceleration arises due to the rotation of the mechanism and the translation of the sliding part, causing a deflection of the path of the moving part.
Coriolis acceleration can be calculated using the formula 2ω x v, where ω is the angular velocity vector and v is the velocity vector of the object in motion. The cross product of these two vectors gives the Coriolis acceleration acting on the object due to the rotation of the reference frame.
The tangential component of acceleration is the change in speed along the direction of motion, while the normal component is the change in direction of velocity. In other words, tangential acceleration affects the speed of an object, while normal acceleration affects the direction of motion.
The vertical component of the acceleration vector is the acceleration due to gravity (9.81 m/s^2 downward). The horizontal component of the acceleration vector is zero since there is no acceleration acting in the horizontal direction (assuming no external forces).
Take the component of the acceleration along the direction the object is moving. If this component is positive (the acceleration vector, or the relevant component, points in the same direction as the movement), then the object is speeding up.