A particle is moving in a circle of radius 𝑅 in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at 𝑡 = 0 is 𝑣0, the time taken to complete the first revolution is

A particle is moving in a circle of radius 𝑅 in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at 𝑡 = 0 is 𝑣0, the time taken to complete the first revolution is

Question: A particle is moving in a circle of radius 𝑅 in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at 𝑡 = 0 is 𝑣0, the time taken to complete the first revolution is