Question

Water flows from a large drainage pipe at a rate of 1200 gal / min . What is this volume rate of flow in (a) m 3 / s , (b) liters / min , and (c) ft 3 / s

Answer 1

Answer:

A. 0.076 m3/s.

B. 317. 01 liters/min.

C. 2.67 ft3/s.

Explanation:

A.

1 gallon = 0.0037854 m3

But 60 s = 1 min

= 1200 gallon/min * 0.0037854 m3/1 gallon * 1 min/60 s

= 0.0757 m3/s.

B.

1 gallon = 3.7854 liters

= 1200 gallon/min * 1 gallon/3.7854 liters

= 317 .01 liters/min.

C.

1 gallon = 0.13368 ft3

But 60 s = 1 min,

= 1200 gallon/min * 0.13368 ft3/1 gallon * 1 min/60 s

= 2.6736 ft3/s

Answer 2

Answer:

(a) 0.0756$m^{3}$/s

(b) 4536 liters/min

(c) 2.68$ft^{3}$/s

Explanation:

Use the following conversion table;

=> 1 gal = 0.00378$m^{3}$

=> 1 gal = 3.78 liters

=> 1 gal = 0.134 $ft^{3}$

=> 1 min = 60 s

Key:

     gal    <=>   gallons

     m      <=>   metres

     min   <=>   minutes

     s       <=>   seconds

     ft       <=>   foot

(a) To convert 1200 gal/min  to  $m^{3}$/s

Remember,

1 gal = 0.00378$m^{3}$

=> 1200 gal = 1200 x 0.00378$m^{3}$ = 4.536

Also,

1 min = 60s

Therefore 1200 gal/min = $\frac{1200 gal}{1 min}$ = $\frac{4.536m^{3}}{60s}$ = 0.0756$m^{3}$/s

(b) To convert 1200 gal/min  to liters/min

Remember,

1 gal = 3.78 liters

=> 1200 gal = 1200 x 3.78 liters = 4536 liters

Therefore 1200 gal/min = $\frac{1200 gal}{1 min}$ = $\frac{4536 liters}{1 min}$ = 4536 liters/min

(c) To convert 1200 gal/min  to  $ft^{3}$/s

Remember,

1 gal = 0.134$ft^{3}$

=> 1200 gal = 1200 x 0.134$ft^{3}$ = 160.8

Also,

1 min = 60s

Therefore 1200 gal/min = $\frac{1200 gal}{1 min}$ = $\frac{160.8ft^{3} }{60s}$ = 2.68$ft^{3}$/s