Hydraulic engineers in the United States often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre of land to depth of 1 ft.(feet) A severe thunderstorm dumped 2.0in. (inches) of rain in 30 minutes on a town of area 26 km2 (squared). What volume of water, in acre-feet, fell on the town?
Put this in your Google search window:
1/6 ft*26km^2 in acre feet
Now, work it out to make certain you can get the same answer.
.1666
To find the volume of water that fell on the town in acre-feet, we need to convert the given measurements into consistent units.
1 acre-foot is equal to the volume of water that will cover 1 acre of land to a depth of 1 foot.
First, let's convert the area of the town from square kilometers to acres.
1 km^2 = 247.105 acres
So, 26 km^2 = 26 * 247.105 acres = 6,422.73 acres (approx.)
Now, let's convert the rainfall from inches to feet.
1 inch = 1/12 feet
So, 2 inches = 2/12 feet = 1/6 feet
Next, we calculate the volume of water using the area and depth:
Volume = Area * Depth
Volume = 6,422.73 acres * (1/6) feet
Finally, let's convert the volume to acre-feet:
1 acre-foot = 1 acre * 1 foot
So, the volume of water in acre-feet is:
Volume = (6,422.73 acres * (1/6) feet) / (1 acre * 1 foot)
Volume = 1,070.4555 acre-feet (approx.)
Therefore, approximately 1,070.46 acre-feet of water fell on the town.
To find the volume of water in acre-feet that fell on the town, we need to follow these steps:
Step 1: Convert the area of the town from km^2 to acres.
- There are 1,000,000 square meters in 1 square kilometer.
- To convert square meters to acres, divide the area in square meters by 4046.86.
Area in acres = (Area in km^2) * (1,000,000 square meters/1 km^2) * (1 acre/4046.86 square meters)
Area in acres = 26 km^2 * (1,000,000/1) * (1/4046.86) = 6411.28 acres (approx.)
Step 2: Convert inches of rain to feet.
- Since 12 inches = 1 foot, we divide the given value of 2.0 inches by 12.
Rain in feet = 2.0 inches / 12 = 0.1667 feet
Step 3: Calculate the volume of water in acre-feet by multiplying the area in acres by the rain in feet.
- Volume in acre-feet = Area in acres * Rain in feet
Volume in acre-feet = 6411.28 acres * 0.1667 feet = 1068.51 acre-feet (approx.)
Therefore, approximately 1068.51 acre-feet of water fell on the town.