An astronaut is rotated in a horizontal centrifuge at a radius of 5.0 m. (a) what is the astronaut’s speed if the centripetal acceleration has a magnitude of 7.0g? (b) how many revolutions per minute are required to produce this acceleration? (c) what is the period of the motion?

Explanation:

Given that,

Radius of circular path, r = 5 m

Centripetal acceleration,

(a) Let v is the astronaut’s speed. The formula for the centripetal acceleration is given by :

v = 18.5 m/s

(b) Let T denotes the time period. It is given by :

T = 1.69 s

Let N is the number of revolutions. So,

So, the number of revolutions per minute is 35.5

(c) T = 1.69 seconds

Hence, this is the required solution.

momentum of soft ball three times less than baskey ball