Two points began to move at the same time with the same constant speed V = 0.5 π m / s , the first on a circle of radius r = 5 m , the other on a circle of radius R = 10 m . Find the angle between the

Question

Two points began to move at the same time with the same constant speed $V = 0.5 π m / s$ , the first on a circle of radius $r = 5 m$ , the other on a circle of radius $R = 10 m$ . Find the angle between the directions of the accelerations of these points at the time $t = 5 sec$ after the start of motion, if at the initial moment points were on the same radius.

TestHub · Accepted Answer

θ 1 ​ = r v t ​ = 5 0.5 π × 5 ​ = 2 π ​ , θ 2 ​ = 10 0.5 π × 5 ​ = 4 π ​ The angle between their (centripetal) acceleration vectors equals the angle between the radii, 2 π ​ − 4 π ​ = 4 π ​ . Option (B).

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