What type of forces created by machinery unbalance are dependent on speed?

The correct choice regarding the type of forces created by machinery unbalance that are dependent on speed is the squared relationship. This principle is rooted in the dynamics of rotating machinery, where the centrifugal force generated by an unbalanced rotor increases with the square of the rotational speed.

When a rotating object has an unbalance, it produces a force that is proportional to the mass of the unbalance and the square of the angular velocity (or speed) at which it rotates. This relationship can be expressed mathematically as F = m * ω², where F represents the centrifugal force, m is the unbalanced mass, and ω is the angular velocity in radians per second. Consequently, as the speed increases, the resultant force from unbalance grows exponentially rather than in a linear fashion.

This squared relationship highlights the importance of controlling speed to manage vibration and ensure the safe operation of machinery. Understanding this concept is crucial for vibration analysis and machinery diagnostics, as it underpins how unbalance forces behave in relation to speed variations in machinery.