If an airplane battery is rated to deliver forty-five amperes for two point five hours, what is its ampere-hour rating?

To determine the ampere-hour rating of the battery, you can use the formula:

Ampere-hour rating = Current (in amperes) × Time (in hours).

In this scenario, the battery is rated to deliver 45 amperes for 2.5 hours. By multiplying these values, you perform the calculation as follows:

Ampere-hour rating = 45 A × 2.5 h = 112.5 Ah.

This means the battery has a capacity of 112.5 ampere-hours, indicating that it can provide 45 amperes of current for a continuous duration of 2.5 hours before being fully discharged. Understanding the ampere-hour rating is crucial as it reflects the battery's energy storage capacity, which is important for ensuring adequate power during flight operations and for determining how long the battery can sustain a load before needing recharging.