Can someone please help me with this problem?
1) A water hose 1.84cm in diameter is used to fill a 22.1 L bucket.
One liter is equal to 1000 cm ^3. If it takes 1.41 minutes to fill the bucket, what is the speed at which the water leaves the hose? answer in units of cm/s.
Thank you for any help!
2007-02-07 12:49:51 · 1 answers · asked by Cool_Tall_One 3 in Science & Mathematics ➔ Physics
always remember that in hydraulics, discharge rate or flow rate is equal to the cross sectional area of the conduit (pipes) multiplied to the fluid's velocity
formula:
Q = A V
velocity, V = d / t (distance over time)
cross sectional area for circular pipe : A = 3.1416 (d^2) / 4
given:
22,100 cm^3 of water per 1.41 min (this is flow rate)
or simply written as
22100 cm^3 / 84.6 sec
A = 3.1416 (1.84^2)/ 4 = 2.659 cm^2
use flow rate formula and substitute values:
22100 cm^3/ sec = 2.659 cm^2 (V)
22100 cm^3/ sec
--------------------- = V
2.659 cm^2
V = 98.244 cm/sec
taddddaaaaa!!!!
2007-02-07 13:50:45 · answer #1 · answered by ramel pogi 3 · 1⤊ 0⤋