Question

7. A rectangular water-tank measuring 80 cm x
60 cm x 60 cm is filled from a pipe of cross-
sectional area 1.5 cm, the water emerging at
3.2 m/s. How long does it take to fill the
tank?​

Answer 1

Answer:

Step-by-step explanation:

water emerging at 3.2 m/s = 320 cm/s

hence equating the volume flow rate

320 x 1.5 x t = 80 x 60 x 60

t = 600 sec = 10 mins

Answer 2

Time taken by pipe to fill a tank is 600 seconds.

Step-by-step explanation:

Given : A rectangular water-tank measuring 80 cm x  60 cm x 60 cm is filled from a pipe of cross- sectional area 1.5 cm, the water emerging at 3.2 m/s.

To find : How long does it take to fill the  tank?​

Solution :

A rectangular water-tank measuring 80 cm x  60 cm x 60 cm.

The volume of the tank is $V=l\times b\times h$

$V=80\times 60\times 60$

A pipe of cross- sectional area 1.5 cm, the water emerging at  3.2 m/s.

Converting m/s into cm/s,

1 m/s = 100 cm/s

3.2 m/s = $3.2\times 100=320\ cm/s$

Let the time taken to fill tank be 't'.

The volume of flow rate is $V=320\times 1.5\times t$

i.e. $320\times 1.5\times t=80\times 60\times 60$

$t=\frac{80\times 60\times 60}{320\times 1.5}$

$t=600$

Therefore, time taken by pipe to fill a tank is 600 seconds.

#Learn more

Water is discharged from a pipe of cross-section area 3.2 cm at the speed of 5 m/s. calculate the volume of water discharge: in cm cube per sec.

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