I have a formula for inertia torque T(inertia) = .09 x Wk^2(inertia)/S(stops) x t(move)^2

This is a shaft that indexes 36 degrees at a time so that how we determine 10 stops for S. I do not know where the factor .09 comes from. Can you explain

Certainly! To understand where the factor of 0.09 comes from in the formula for inertia torque, we'll need to break down the equation and analyze its components.

The formula you provided is:
T(inertia) = 0.09 x (Wk^2(inertia) / S(stops)) x t(move)^2

Let's dissect each part:

1. Wk^2(inertia): This term represents the square of the angular velocity of the system. The angular velocity (Wk) measures how quickly an object is rotating. Squaring it (Wk^2) is a common mathematical operation used to represent energy or intensity.

2. S(stops): This term denotes the number of stops in the indexing shaft. You mentioned that your shaft has 10 stops, meaning it can be locked into 10 different positions. The value of S(stops) in your case is 10.

3. t(move)^2: This term represents the time taken for each indexing movement, squared. By squaring the time (t(move))^2, it is likely to account for the duration of the movement.

Now, the factor of 0.09 is essentially a constant multiplier. It is a coefficient that adjusts the overall magnitude of the inertia torque in relation to the other variables in the formula. The specific value of 0.09 is likely derived from experimentally or empirically determining the appropriate scaling factor for the system being studied.

In practical terms, the factor of 0.09 could be a combination of various factors such as the mechanical efficiency of the system, the frictional forces involved, or other characteristics specific to the design of the indexing shaft. Its purpose is to ensure that the resulting inertia torque value aligns with the behavior and properties of the physical system under consideration.

Therefore, if you are using this formula for calculations, it is important to note that the factor of 0.09 could be specific to your system or application. Obtaining a more precise understanding of how this specific value was determined might require referring to the source from which the formula was derived or consulting relevant engineering documentation.