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Question: 1 / 400

Given the following information, calculate the total flow in gallons after 1-minute of flowing through this channel. Assume the channel is rectangular and full. Channel Width: 5.0', Channel Depth: 2.0', Velocity: 3.5 ft/sec

5,000 gal

15,700 gal

To determine the total flow in gallons after 1 minute through the rectangular channel, you first need to calculate the cross-sectional area of the channel. The formula for the area of a rectangle is width multiplied by depth.

In this case, the channel's width is 5.0 feet and its depth is 2.0 feet. Therefore, the cross-sectional area is:

Area = Width × Depth = 5.0 ft × 2.0 ft = 10.0 ft².

Next, to find the volume of water flowing through the channel in cubic feet per second, you multiply the cross-sectional area by the velocity of the flow. The velocity provided is 3.5 feet per second:

Flow rate (cubic feet per second) = Area × Velocity = 10.0 ft² × 3.5 ft/sec = 35.0 ft³/sec.

Now, to find the total volume of flow over 1 minute, you need to convert the time from minutes to seconds. There are 60 seconds in a minute, so the total volume in cubic feet for 1 minute is:

Total volume (cubic feet) = Flow rate × Time = 35.0 ft³/sec × 60

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12,000 gal

10,500 gal

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