Find the diameter of the pipe which conveys 5m^3/sec of water at an average velocity of
3m/sec.
a.1.456m
b.1.458m
c.0.245m
d.0.911m
Answers
Step-by-step explanation:
Find the diameter of the pipe which conveys 5m^3/sec of water at an average velocity of 3m/sec.a.1.456mb.1.458… Get the ... of 3m/sec. a.1.456m b.1.458m c. 0.245m
Given,
A pipe conveys 5m^3/sec of water.
The average velocity of water flow in the pipe = 3 meters/second
To find,
Diameter of the pipe.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let, the radius if the cylindrical pipe is "r" meters.
From the question, we can infer that, the pipe transfers water equal to a volume of 5m^3 per second at a velocity of 3 meters/second, i.e. a segment of the cylindrical pipe with a height(h) of 3 meters has a volume equal to 5m^3.
Now, as per mensuration,
The volume of a cylinder (V) = π x r^2 x h
=> 5m^3 = 22/7 x r^2 x 3 m
=> r^2 = 35/66
=> r = 0.728 meters
So, the diameter of the pipe = 2 x r
= 2 x 0.728 meters
= 1.456 meters
approx.
Hence, the diameter of the pipe is approximately 1.456 meters. (option A)