Answer:
11.67 revolutions per minute
Step-by-step explanation:
Centripetal acceleration a = r ω ²
Where, ω is angular velocity.
From the question, centripetal acceleration equal to that of the earth’s gravity
g = r ω ²
substituting the values of acceleration due to gravity g and radius r
9.8 = 2.30 x ω ²
ω ² =

ω ² = 4.261
ω =

ω = 2.06 rad/second
Angular velocity ω =

where T is the period ⇒ time taken to complete one revolution
Substituting the calculated value of ω into the equation to solve for period T
2.06 =

T =

T = 3.05 seconds
The revolutions per minute =
= 11.67 revolutions per minute