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The formula for the output equation with respect to the peripheral speed, generally in the contexts of rotors or revolving machinery, is given by:
[V = pi times D times N]
Where:
– (V) is the peripheral speed (the speed at the outer edge of the rotor),
– (pi) is a constant (approximately 3.14159),
– (D) is the diameter of the rotor, and
– (N) is the rotational speed (revolutions per unit of time, e.g., revolutions per minute or RPM).
This formula calculates the linear speed at the edge of a rotor based on its rotational speed and size, which is crucial in the design and analysis of mechanical systems, ensuring they operate within safe or optimal rotational speeds.