A ball tied to a string takes `4 s` to complete one revoluting along a horizontal circule. If by pulling the cord, the radius of the circle is reduced to half, how much time will the ball take to complete one revolution ?

Explanation

To solve the problem, we need to analyze the relationship between the radius of the circular path and the time taken for one revolution.

### Step-by-Step Solution:

1. **Identify Initial Conditions**:
- The ball takes `4 seconds` to complete one revolution in a circle of radius `R`.
- Therefore, the angular velocity (ω_initial) can be calculated as:
\[
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