# Physics

A 5/8 inch (inside) diameter garden hose is used to fill a round swimming pool 7.3m in diameter.How long will it take to fill the pool to a depth of 1.0m if water issues from the hose at a speed of 0.50m/s ?

1. 👍 0
2. 👎 0
3. 👁 1,271
1. V(pool) =π•D²•h/4
V= π•d²•vt/4
π•D²•h/4= π•d²•vvt/4
t=D²vh/d²•v

1. 👍 1
2. 👎 0
2. t = volume/(volume flow rate)
= (pi/4)*D^2*(depth)/ [(pi/4)*d^2*V]
= (D/d)^2*(depth)/V

d is the hose diameter. D is the pool diameter.
V is the water velocity leaving the hose.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### c

A hose can fill a swimming pool in 4 hours. Another hose needs 9 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool?

2. ### Physics

A garden hose is used to fill a drum with water. The hose is held 0.88 m above the ground. The cross-sectional area of the 2.0 cm diameter hose is two times the cross-sectional area at the spout end where the water is coming out

3. ### algebra

Pump A can fill a swimming pool in 6 hours and pump B can fill the same pool in 4 hours. The two pumps began working together to fill an empty pool, but after 40 minutes pump B broke down, and pump A had to complete the job alone.

4. ### math

Three water pipes are used to fill a swimming pool. The 1st pipe alone takes 8 hours to fill the pool, the 2nd pipe alone takes 12 hours to fill the pool, and the 3rd pipe takes 24 hours to fill the pool. If all 3 pipes are opened

1. ### math

One pipe can fill a swimming pool in 8 hours. Another pipe takes 12 hours. How long will it take to fill the pool if both pipes are used simultaneously?

2. ### math

Initially a pool contains 350 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 4.8 gallons of water per minute. Write an equation that shows the relationship between the total amount of

3. ### Physics

Water flowing through a garden hose of diameter 2.77 cm fills a 25.0-L bucket in 1.40 min. (a) What is the speed of the water leaving the end of the hose? Answer in m/s (b) A nozzle is now attached to the end of the hose. If the

4. ### math

An inlet pipe on a swimming pool can be used to fill the pool in 28 hours. The drain pipe can be used to empty the pool in 42 hours. If the pool is one-third filled and then the drain pipe is accidentally opened, how long will it

1. ### maths

To fill a swimming pool two pipes are to be used.If the pipe of larger diameter I'd used for 4 hours and the pipe of smaller diameter for 9 hours only half the pool can be filled .Find ,how long it would take for each pipe to fill

2. ### Algebra

An inlet pipe on a swimming pool can be used to fill the pool in 24 hours. The drain pipe can be used to empty the pool in 40 hours. If the pool is one-third filled and then the drain pipe is accidentally opened, how long will it

3. ### Math

Two pumps are filling a pool. One of them is high power and can fill the pool alone in 2 hours less time than the other can do so. Given that, working together, both pumps can fill the pool in 144 minutes, how long, in hours, will

4. ### Math

Four hoses are filling a pool. The first hose alone would fill the pool in 4 hours while the second hose takes 6 hours. The third hose and the fourth hose each take 8 hours to fill the pool. How long would it take to fill the pool