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`        A CAR IS TRAVELING WITH A LINEAR VELOCITY v ON A CIRCULAR ROAD OF RADIUS R IF IT IS INCREASING ITS SPEED AT THE RATE OF 'a' MS^-2 THEN THE RESULTANT ACCELERATION WILL BE`
8 years ago

Ramesh V
70 Points
```
The instantaneous acceleration ar pointing towards the center of the circle is called radial acceleration or centripetal acceleration.                      The radial component causes a change in direction and its magnitude is given by ar = v2/r, where r is the radius of curvature at the point in question.
The tangential component causes a change in speed and its magnitude is given by at = dv/dt = a m/sec2 (given)
The tangential acceleration of the car has a constant magnitude of at = a m/sec2
The components ar and at are perpendicular to each other and the magnitude of a is given by
resultant accln. a2 = ar2 + at2
resultant accln. (ares)         =[ a2 +(v2/r)2 ]1/2
=[ a2 +(v4/r2) ]1/2
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Naga Ramesh
IIT Kgp - 2005 batch
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8 years ago
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