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Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.
- a)−36 m/s2; −0.148 m/s2 respectively
- b)−0.148 m/s2; −36 m/s2 respectively
- c)−3.6 m/s2; −1.48 m/s2 respectively
- d)+3.6 m/s2; +1.48 m/s2 respectively
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Velocity distribution at entry to the pump intake is inversely propor...
The velocity distribution is prescribed by the relation V = C / r 2
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At r = 1 m, u = 0.75 m⁄s and hence C = 0.75 Acceleration,
a = ∂V / ∂t + V ∂V / ∂r
or steady state flow ∂V / ∂t = 0
a = V ∂V / ∂r = C / r2 × ∂/∂r (C / r2 )
= −2C /r5
Substituting C = 0.75
a = −2 × (0.75)2 /r 5 = −1.125 / r5
i) When r = 0.5 m
a = −1.125 / (0.5)5= −36 m⁄s2
(ii) When r = 1.5 m
a = −1.125 /(1.5)5 = −0.148 m/s2
The minus sign indicates that acceleration is directed towards the intake.
Most Upvoted Answer
Velocity distribution at entry to the pump intake is inversely propor...
Given information:
- Velocity distribution at entry to the pump intake is inversely proportional to the square of the radial distance from the inlet to the suction pipe.
- Velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s.
To find:
- Acceleration of flow at 0.5 m and 1.5 m from the inlet.
Let's solve this step by step:
1. Velocity distribution equation:
- According to the given information, the velocity distribution equation can be written as:
V = k / r²
where V is the velocity, r is the radial distance, and k is a constant.
2. Find the value of constant k:
- We know that at a radial distance of 1 m from the inlet, the velocity is 0.75 m/s.
- Substituting these values in the velocity distribution equation, we get:
0.75 = k / 1²
k = 0.75
3. Acceleration of flow at 0.5 m:
- To find the acceleration at 0.5 m, we need to differentiate the velocity equation with respect to time, since acceleration is the rate of change of velocity.
- Differentiating V = 0.75 / r² with respect to time, we get:
dV/dt = 0.75 * (-2) / r³
dV/dt = -1.5 / r³
- Substituting the value of r as 0.5 m, we get:
dV/dt = -1.5 / (0.5)³
dV/dt = -1.5 / 0.125
dV/dt = -12 m/s²
4. Acceleration of flow at 1.5 m:
- Similarly, substituting the value of r as 1.5 m in the velocity equation, we get:
V = 0.75 / (1.5)²
V = 0.75 / 2.25
V = 1/3 m/s
- Again, differentiating V = 1/3 m/s with respect to time, we get:
dV/dt = 0
Since the velocity is constant, the acceleration is zero.
Therefore, the calculated accelerations are:
- At 0.5 m from the inlet: -12 m/s²
- At 1.5 m from the inlet: 0 m/s²
The correct answer is option A: -36 m/s²; -0.148 m/s² respectively.
- Velocity distribution at entry to the pump intake is inversely proportional to the square of the radial distance from the inlet to the suction pipe.
- Velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s.
To find:
- Acceleration of flow at 0.5 m and 1.5 m from the inlet.
Let's solve this step by step:
1. Velocity distribution equation:
- According to the given information, the velocity distribution equation can be written as:
V = k / r²
where V is the velocity, r is the radial distance, and k is a constant.
2. Find the value of constant k:
- We know that at a radial distance of 1 m from the inlet, the velocity is 0.75 m/s.
- Substituting these values in the velocity distribution equation, we get:
0.75 = k / 1²
k = 0.75
3. Acceleration of flow at 0.5 m:
- To find the acceleration at 0.5 m, we need to differentiate the velocity equation with respect to time, since acceleration is the rate of change of velocity.
- Differentiating V = 0.75 / r² with respect to time, we get:
dV/dt = 0.75 * (-2) / r³
dV/dt = -1.5 / r³
- Substituting the value of r as 0.5 m, we get:
dV/dt = -1.5 / (0.5)³
dV/dt = -1.5 / 0.125
dV/dt = -12 m/s²
4. Acceleration of flow at 1.5 m:
- Similarly, substituting the value of r as 1.5 m in the velocity equation, we get:
V = 0.75 / (1.5)²
V = 0.75 / 2.25
V = 1/3 m/s
- Again, differentiating V = 1/3 m/s with respect to time, we get:
dV/dt = 0
Since the velocity is constant, the acceleration is zero.
Therefore, the calculated accelerations are:
- At 0.5 m from the inlet: -12 m/s²
- At 1.5 m from the inlet: 0 m/s²
The correct answer is option A: -36 m/s²; -0.148 m/s² respectively.
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Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer?
Question Description
Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer?.
Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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Here you can find the meaning of Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Velocity distribution at entry to the pump intake is inversely proportional to square of radial distance from inlet to suction pipe. If the velocity at a radial distance of 1 m from the pipe inlet is 0.75 m/s, make calculations for the acceleration of flow at 0.5 m and 1.5 m from the inlet. Consider the streamlines to be radial.a) −36 m/s2; −0.148 m/s2 respectivelyb) −0.148 m/s2; −36 m/s2 respectivelyc) −3.6 m/s2; −1.48 m/s2 respectivelyd) +3.6 m/s2; +1.48 m/s2 respectivelyCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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