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
To understand where the factor 0.09 comes from in the formula for inertia torque, we need to examine the equation closely. The formula you provided is:
T(inertia) = 0.09 * Wk^2(inertia) / S(stops) * t(move)^2
Let's break it down step by step:
- Wk^2(inertia) represents the moment of inertia of the shaft. This term depends on the mass distribution and shape of the rotating object.
- S(stops) represents the number of stops or positions that the shaft moves through. You mentioned that the shaft indexes 36 degrees at a time, resulting in 10 stops. Therefore, in this case, S(stops) is equal to 10.
- t(move) represents the time it takes for the shaft to perform one indexing movement.
Now, let's focus on the factor 0.09 in the formula. In this context, the value of 0.09 is likely an empirical or experimental value that has been determined through testing or previous experience. It is not an inherent mathematical constant.
By introducing a factor of 0.09 into the formula, it allows for adjustments or scaling based on the specific system or application in question. The particular value of 0.09 would have been determined through experimentation and might include various factors like friction, damping, or other characteristics specific to the system being analyzed.
In summary, the factor of 0.09 in the formula is likely based on empirical data and represents an adjustment specific to the system being analyzed. To determine the exact value or rationale behind using 0.09, you would need to refer to the source from which the formula originates or conduct further experimental analysis.