Two beads are tied to a string at different positions, and you swing the string

Question

Two beads are tied to a string at different positions, and you swing the string around your head at a constant rate so that the beads move in uniform circular motion. Bead A is closer to your hand than bead B. Compare (a) the periods of A and B, (b) the speeds of A and B, (c) the centripetal accelerations of A and B 50) (a) A and B have the same periodt submissions used) (0/1 submissions used) A and B have the same period 1(0/1 submissions used) S A has a longer period B has a longer period Secti

Explanation / Answer

1) since both will complete the circle in the same time that means A and B have the same period.

2) since B is moving in bigger circle so it has to travel more distance in same time so its liner speed will be more so B has greater speed.

3) centrepetal acceleration (ac) = r2

from here we can say if time period is same so angular speed will also be same so the one which is farther will have more acceleration so B has a greater acceleration.

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