Mechanical Engineering Exam > Mechanical Engineering Questions > A circular annular plate bounded by two conce...
Start Learning for Free
A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?
- a)7.07 kN
- b)10.00 kN
- c)14.14 kN
- d)18.00kN
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A circular annular plate bounded by two concentric circles of diameter...
Ans. (b)
= 
= Most Upvoted Answer
A circular annular plate bounded by two concentric circles of diameter...
Given data:
Diameter of outer circle = 1.2m
Diameter of inner circle = 0.8m
Angle of immersion = 45 degrees
Centre of the circles is 1.625m below the free surface
To find: Total pressure force on the face of the plate
Solution:
1. Determine the depth of the outer and inner circles:
Depth of outer circle = 1.625m + (1.2/2)sin(45) = 2.034m
Depth of inner circle = 1.625m + (0.8/2)sin(45) = 1.834m
2. Calculate the pressure at the centre of the plate:
Pressure at the centre = ρgh = 1000 kg/m3 × 9.81 m/s2 × 1.625m = 16012.5 N/m2
3. Calculate the pressure at the outer and inner circles:
Pressure at outer circle = ρgh = 1000 kg/m3 × 9.81 m/s2 × 2.034m = 19934.7 N/m2
Pressure at inner circle = ρgh = 1000 kg/m3 × 9.81 m/s2 × 1.834m = 18006.6 N/m2
4. Calculate the area of the plate:
Area of the plate = π/4 × (1.2m)2 - π/4 × (0.8m)2 = 0.2827 m2
5. Calculate the total pressure force on the face of the plate:
Total pressure force = (Pressure at outer circle - Pressure at inner circle) × Area of the plate
= (19934.7 - 18006.6) N/m2 × 0.2827 m2 = 542.9 N = 0.5429 kN
Therefore, the total pressure force on the face of the plate is 0.5429 kN, which is closest to option B (10.00 kN).
Diameter of outer circle = 1.2m
Diameter of inner circle = 0.8m
Angle of immersion = 45 degrees
Centre of the circles is 1.625m below the free surface
To find: Total pressure force on the face of the plate
Solution:
1. Determine the depth of the outer and inner circles:
Depth of outer circle = 1.625m + (1.2/2)sin(45) = 2.034m
Depth of inner circle = 1.625m + (0.8/2)sin(45) = 1.834m
2. Calculate the pressure at the centre of the plate:
Pressure at the centre = ρgh = 1000 kg/m3 × 9.81 m/s2 × 1.625m = 16012.5 N/m2
3. Calculate the pressure at the outer and inner circles:
Pressure at outer circle = ρgh = 1000 kg/m3 × 9.81 m/s2 × 2.034m = 19934.7 N/m2
Pressure at inner circle = ρgh = 1000 kg/m3 × 9.81 m/s2 × 1.834m = 18006.6 N/m2
4. Calculate the area of the plate:
Area of the plate = π/4 × (1.2m)2 - π/4 × (0.8m)2 = 0.2827 m2
5. Calculate the total pressure force on the face of the plate:
Total pressure force = (Pressure at outer circle - Pressure at inner circle) × Area of the plate
= (19934.7 - 18006.6) N/m2 × 0.2827 m2 = 542.9 N = 0.5429 kN
Therefore, the total pressure force on the face of the plate is 0.5429 kN, which is closest to option B (10.00 kN).
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer?
Question Description
A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer?.
A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A circular annular plate bounded by two concentric circles of diameter 1.2m and 0.8 m is immersed in water with its plane making an angle of 45o with the horizontal. The centre of the circles is 1.625m below the free surface. What will be the total pressure force on the face of the plate?a)7.07 kNb)10.00 kNc)14.14 kNd)18.00kNCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup