Final answer:
Rate-of-rise heat detectors trigger an alarm based on rapid temperature increases. They may not detect slow heating, such as a slow engine overheating or a developing short circuit, which could lead to potential extreme physical danger.
Step-by-step explanation:
The type of fire warning system that depends on the rate of temperature rise and will not give a warning when an engine slowly overheats or a short circuit develops is often referred to as a rate-of-rise heat detector. These systems are designed to detect rapid increases in temperature rather than gradual changes, which may result in the potential for extreme physical danger if a slow-developing fire goes unnoticed. They are essential components in scenarios where a rapid response to a sudden, intense fire is crucial. However, they may not be reliable in cases of slowly building heat, which is why they are usually integrated with other types of detectors in comprehensive fire warning systems.