explain the direction of vector a mega (angular velocity)
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Angular velocity points in a direction perpendicular to the wheel. Because the angular velocity vector points the way it does, it has no component along the wheel.
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Angular velocity is the rate of angular displacement about an axis. Its direction is determined by right hand rule. According to right hand rule, if you hold the axis with your right hand and rotate the fingers in the direction of motion of the rotating body then thumb will point the direction of the angular velocity.
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