define centripetal acceleration and obtain the expression for centripetal acceleration and also find its radial and tangential component
Answers
Centripetal acceleration, property of the motion of a body traversing a circular path. The acceleration is directed radially toward the centre of the circle and has a magnitude equal to the square of the body's speed along the curve divided by the distance from the centre of the circle to the moving body.
expression for centripetal acceleration is ac=v2r a c = v 2 r , which is the acceleration of an object in a circle of radius r at a speed v. So, centripetal acceleration is greater at high speeds and in sharp curves (smaller radius), as you have noticed when driving a car.
radial and tangential component of acceleration is the velocity vector v (always tangent to the path) changes in direction and magnitude, the component vectors of the acceleration a are a tangential component at and a radial component ar. ... The direction of at is either in the same direction as v (if v is increasing) or opposite v (if v is decreasing).
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