Answer:
5.024 × 10^8 tons /day
Step-by-step explanation:
This question has to deal with conversion
We are told in the question that:
On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.
Water flow rate = 2.05 × 10^5 ft³/s
From the question,
One cubic foot of water weighs 62.4 lb.
1 ft³ = 62.4 lb
1 ton = 2200 lb
We are to calculate the flow rate in tons per day
Hence,
1 ft³ = 62.4 lb
2.05 × 10^5 ft³ =
Cross Multiply
2.05 × 10^5 × 62.4
= 12792000lb
Hence the water flow rate = 12792000lb/s
From the question,
2200 lb = 1 ton
12792000 Ib =
Cross Multiply
12792000lb × 1 ton/2200 lb
= 5814.5454545 tons
Hence the water flow rate = 5814.5454545 tons/second
We want the flow rate to be in tons/day
1 ton / second = 86400 tons / day
5814.5454545 tons/second = x tons/ day
Cross Multiply
x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second
= 502376727.27 tons/day
= 5.0237672727 × 10^8 tons/day
Approximately ≈ 5.024 × 10^8 tons /day
Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day
