The car in Figure P6.51 travels at a constant speed along the road shown. Draw vectors showing its acceleration at the three points A, B, and C, or write . The lengths of your vectors should correspond to the magnitudes of the accelerations.

Solution Step 1 of 3 For a body in circular motion, the centripetal acceleration is the rate of change of tangential velocity as in figure below The expression for the centripetal acceleration(a ) is,c 2 a c vr Where v are the speed of the object and r is the radius. Step 2 of 3 From the equation we can say that, The acceleration of the object in uniform circular motion is inversely proportional to the radius. Which means; as the radius of curvature becomes small, its acceleration increases. SImilarly as the curvature becomes large, acceleration decreases. Also as the acceleration is rate of change of speed, if the speed is uniform; acceleration will be zero as the rate of change is zero.