A body revolves with constant speed v in a circular path of radius r, the magnitude of its average acceleration during motion between two points in diametrically opposite directions is:
Step 1: Given data
Step 2: Average acceleration
Step 3: Finding the average acceleration
The two given points are placed at the two ends of diameter on the circular path.
Let's assume the velocity at point c is and at point E, the velocity is as shown in the figure.
Now, the change in velocity of these two particles is,
where A is the acceleration.
Now, for circular motion, the period of revolution is,
where r is the radius of the circular path and v is the velocity of the particle.
So, from equations (1) and (2)
DIagram
Therefore, the average acceleration during motion between two points in diametrically opposite directions is .