Understanding centripetal acceleration and calculating total acceleration in circular motion.
Centripetal acceleration represents the acceleration experienced by an object moving in a circular path, directed towards the center of the circle. It is given by the formula ac = v2/r, where v is the velocity and r is the radius of the circle.
To calculate the centripetal acceleration in this scenario, given a radius of 4 m and a time of 2 seconds for one revolution, first determine the velocity v = (2πr)/t. Then, plug the values into the formula to find the acceleration.
The total acceleration of the particle at t = 2.0 s can be found by combining the magnitude of the tangential acceleration with the centripetal acceleration to calculate the overall acceleration of the object moving in a circular path.
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