Question

Question 4 1 pts A 50 cm (inside) diameter garden hose is used to filla 18 Lubucket How long will it take to fill it if water flows from a hose ata speed of 0.80 m/s? (1L - 10 m) 11 min 50 sec 25 hrs

Answer 1

Id=5cm=0.05m Ginside diameter of dl v hose. nd² sectional area AU -1.9635x163x0.80 m3/s ... Cross of hose is A= 4 A= ax (0.0592 m2 > A=1.9635 x103 m Velocity of flow is U=0.80mis i Rate of volume flow is low at lau at letten at )= 1.5708x10-3 m3's Total volume to be filled is vooral = 18L Total =18x103 m3 If time taken is it then, Tatar (alt) lat = 1.5708X403x+ » t = 18 185709 so, none of the geven options are correcto Idu 18846 It~ 11.46 sec sec

Answer 2

SOLUTION :

Water flow rate from hose

= Area of hose inside * speed of water coming out 

= pi / 4 * d^2  * v 

= pi / 4 * (5/100)^2 * 0.8 

= 0.001570.80 m^3/sec

= 1.5708 * 10^(-3)  m^3/sec

 = 1.5708 L/ sec. (since  1 L = 10^(-3) m^3 )

Time to fill up 18 L bucket 

= water quantity in L / flow rate in L/sec

= 18 / 1.5708

= 11.46 sec (ANSWER).

None of the options are correct. Time needed to fill 18 L bucket is 11.46 sec. (ANSWER).