To convert 23 degrees to revolutions per minute (rpm), the time taken to traverse that angle is essential. The relationship between angular velocity in rpm and Hertz is established, where rpm equals Hertz times 60. The discussion involves a conical pendulum with a 0.100 kg ball on a 1.00 m string, moving in a horizontal circle of radius 40.0 cm. The tension in the string is calculated using Newton's second law, leading to the determination of the angle using sine functions. The final challenge is converting the derived velocity into rpm, which requires further clarification on the relationship between linear and angular velocity.