If the personnel hoist rope speed is 300 feet per minute, the minimum rope safety factor must be ___.

In the context of personnel hoists, the minimum rope safety factor is a crucial metric that ensures the safety and reliability of the lifting system. The safety factor is determined by various factors, including the speed of the hoist and the type of materials involved. In this case, with a personnel hoist rope speed of 300 feet per minute, the calculation for the minimum rope safety factor typically aligns with industry standards that address not only the dynamic forces involved but also potential wear and operational stresses.

A safety factor of 10.00 implies that the rope can safely support ten times the maximum intended load. This conservative approach accounts for unforeseen conditions that may arise during operation, such as shock loads or environmental factors, thus providing a reliable margin of safety for personnel being lifted. This standard is often adopted to ensure that safety requirements are met for high-speed operations, like those indicated by the given hoist rope speed.

The other options provide safety factors that are either lower than this standard and may not account sufficiently for the conditions under which the hoist operates, especially considering the speed and the inherent risks associated with personnel lifting. As such, the choice of a safety factor of 10.00 is founded on the necessity of ensuring both the safety of the personnel involved