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A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.
Correct answer is 'Range: 1580 to 1590'. Can you explain this answer?
Most Upvoted Answer
A fireman holds a water hose ending into a nozzle that issues a 20 mm...
Impulse momentum equation gives
Considering the center line of flow passing along the x-axis.
Since the nozzle discharges into atmosphere P2 = 0 and for horizontal arrangement y1 = y2
= −394.85 + 1978.2
= 1583.36 N
The water exerts a force of 1583.35 N on the nozzle and it acts in a direction, opposite to direction of flow. An equal and opposite force will be exerted by the nozzle on the fluid mass.
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A fireman holds a water hose ending into a nozzle that issues a 20 mm...
Given:
- Diameter of the water hose (D1) = 60 mm
- Diameter of the water jet (D2) = 20 mm
- Pressure of water in the hose (P1) = 700 kPa
To find:
- Force experienced by the fireman (F)
Assumptions:
- The water flow is steady and incompressible.
- The water jet is perfectly round and has a uniform velocity distribution.
Formula:
- Force (F) = Pressure (P) x Area (A)
Solution:
Step 1: Calculate the area of the water hose (A1):
- The area of a circular cross-section is given by the formula:
A = π * (Diameter/2)^2
- Substituting the given values:
A1 = π * (60/2)^2 = 2827.43 mm²
Step 2: Calculate the area of the water jet (A2):
- The area of a circular cross-section is given by the formula:
A = π * (Diameter/2)^2
- Substituting the given values:
A2 = π * (20/2)^2 = 314.16 mm²
Step 3: Calculate the force experienced by the fireman (F):
- Using the formula:
F = P1 * A2
- Substituting the given values:
F = 700 kPa * 314.16 mm² = 219912 N
Therefore, the force experienced by the fireman is approximately 219912 N.
Note: The given range of 1580 to 1590 is not correct given the values provided. The correct answer is 219912 N.
- Diameter of the water hose (D1) = 60 mm
- Diameter of the water jet (D2) = 20 mm
- Pressure of water in the hose (P1) = 700 kPa
To find:
- Force experienced by the fireman (F)
Assumptions:
- The water flow is steady and incompressible.
- The water jet is perfectly round and has a uniform velocity distribution.
Formula:
- Force (F) = Pressure (P) x Area (A)
Solution:
Step 1: Calculate the area of the water hose (A1):
- The area of a circular cross-section is given by the formula:
A = π * (Diameter/2)^2
- Substituting the given values:
A1 = π * (60/2)^2 = 2827.43 mm²
Step 2: Calculate the area of the water jet (A2):
- The area of a circular cross-section is given by the formula:
A = π * (Diameter/2)^2
- Substituting the given values:
A2 = π * (20/2)^2 = 314.16 mm²
Step 3: Calculate the force experienced by the fireman (F):
- Using the formula:
F = P1 * A2
- Substituting the given values:
F = 700 kPa * 314.16 mm² = 219912 N
Therefore, the force experienced by the fireman is approximately 219912 N.
Note: The given range of 1580 to 1590 is not correct given the values provided. The correct answer is 219912 N.
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Question Description
A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer?.
A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer?.
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A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer?, a detailed solution for A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer? has been provided alongside types of A fireman holds a water hose ending into a nozzle that issues a 20 mm diameter jet of water. If the pressure of water in the 60 mm diameter hose is 700 kPa, find the force (in N) experienced by the fireman.Correct answer is 'Range: 1580 to 1590'. Can you explain this answer? theory, EduRev gives you an
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