A spaceman in training is rotated in a seat at the end of a horizontal arm of length 5 m. If he can with stand acceleration upto 9 g, then what is the maximum number of revolution per second permissible? (Take, g =`10ms^(-2)`)

Explanation

To solve the problem, we need to find the maximum number of revolutions per second that a spaceman can withstand while being rotated in a circular motion at the end of a horizontal arm of length 5 m, given that he can withstand an acceleration of up to 9g.

### Step-by-Step Solution:

1. **Understand the Forces Involved**:
In circular motion, the centripetal force required to keep an object moving in a circle is provided by the net force acting on it. In this case, the effective weight of the spaceman (which is the gravitational force) provides the necessary centripetal force.

2. **Identify the Relevant Equations**:
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