1800-150-456-789
FlagBACK
Flag Modern Physics> What is pumped steadily out of a flooded ...
question mark

What is pumped steadily out of a flooded basement at a speed of 5.0m/s through a uniform hose of radius 1.0 cm. The hose passes out through a window 3.0m above the water line. What is the power of the pump?

theja , 11 Years ago
Grade 9
anser 1 Answers
Nirmal Singh.

Last Activity: 11 Years ago

Suppose that a mass delta m of water is pumped in time delta t. The pump increases the potential energy of the water by Delta mgh, where h is the vertical distance through which it is lifted, and increases its kinetic energy by 1 /2 delta mv^2 , where v is its final speed. The work it does is
Delta W = delta m gh +1/2 delta mv^2
power P = Delta W / delta t
P = delta m gh +1/2 delta mv^2 / delta t
P = delta m / deta t (gh+1/2v^2)
Now the rate of mass delta m /delta t = rho *A*v where rho is density of water and A is the area of the hose. The area of the hose A = pi*r^2 = 3.14*(0.01)^2 = 3.14*10^-4 m^2
rho*A*v = 1000*3.14x10^-4x5 = 1.57 kg/sec
Thus P = P = delta m / deta t (gh+1/2v^2) = 1.57*[9.8*3 + 5^2 / 2]
P = 66 W
Thanks & Regards,
Nirmal Singh
Askiitians faculty

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on modern physics

question mark
A particle is projected in vertical plane such that after 5 seconds its velocity becomes horizontal. The maximum height attained by the projectile from point of projection is n3 m. The value of n is _______. (g = 10 m/s2)
modern physics
1 Answer Available

Last Activity: 2 Years ago

question mark
Two particles approach each other from very large distance as shown, . if the least separation between the particles is b, what is the speed of M in center of mass frame when particles are closest? (gravity negligible)
modern physics
0 Answer Available

Last Activity: 2 Years ago

question mark
Can the sum of two equal vectors be equal to either vector
modern physics
0 Answer Available

Last Activity: 2 Years ago

question mark
A nucleus X184 at rest emitt alpha particle With kinetic energy 9.0MeV. The product Nucleus is Y. The values of Binding energy per nucleon of alpha particle & Y differ by 1.5MeV. The values of Binding energy per nucleon of X & Y differ by (n÷230) MeV, then n is
modern physics
0 Answer Available

Last Activity: 2 Years ago

question mark
SUBJECT: PROBLEM BASED ON LINE DETECTION.Query: How to apply all the filters for line detection on the following piece of image (provided below)? Explain its Observations to comment on its results.
modern physics
0 Answer Available

Last Activity: 2 Years ago