A sample in a centrifuge moves in a circle of radius 8.0 cm at a constant speed

Question:

A sample in a centrifuge moves in a circle of radius 8.0 cm at a constant speed of 500 m/s. 

(a) How much time does it take for the velocity’s direction to change by 45° (1/8 of a revolution)? 

(b) What is the magnitude of the average acceleration during that time?

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