# An astronaut undergoes training in a centrifuge with a radius of 15 m.

September 23, 2021 | education

| **An astronaut undergoes training in a centrifuge with a radius of 15 m. How fast does an astronaut move if his centripetal acceleration is 40 m / s2?**

Centripetal acceleration can be calculated using the formula:

ac = (V ^ 2) / R, where ac is the cosmonaut’s centripetal acceleration (ac = 40 m / s ^ 2), V is the cosmonaut’s velocity (m / s), R is the radius of the circle along which the cosmonaut moves (R = 15 m).

Let us express and calculate the speed of the astronaut:

V = sqrt (ac * R) = sqrt (40 * 15) = sqrt (600) = 24.5 m / s.

Answer: The speed of the astronaut is 24.5 m / s

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