How many acres per minute (apm) will the sprayer treat if it has a swath width of 12 ft and is traveling at 82.9 fpm?

To determine how many acres per minute the sprayer will treat, we can use a specific formula that relates the swath width, speed of the sprayer, and the conversion factor that translates those measurements into acres.

First, we convert the swath width from feet to acres. Since 1 acre is equivalent to 43,560 square feet, we calculate the sprayer's treatment area based on its swath and speed:

1. Compute the area treated per minute in square feet:

• The swath width is 12 feet.

• The sprayer travels at a speed of 82.9 feet per minute.

• Therefore, the area treated in a minute is:

[

12 \text{ feet} \times 82.9 \text{ fpm} = 994.8 \text{ square feet per minute}

]

2. Next, convert the area in square feet to acres:

• To convert square feet to acres, divide by the number of square feet in one acre (43,560 sq ft):

[

\frac{994.8 \text{ sq ft per minute}}{43,560 \text{ sq ft/acre}} \