NEET Exam > NEET Questions > In a hydraulic lift, compressed air exerts a...
Start Learning for Free
In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.
- a)1.4 × 105 N
- b)2 × 105 N
- c)1.5 × 103 N
- d)1.9 × 103 N
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a hydraulic lift, compressed air exerts a force F1 on a small pist...
Given:
Radius of small piston (r1) = 5 cm = 0.05 m
Radius of large piston (r2) = 15 cm = 0.15 m
Mass of the load (m) = 1350 kg
We need to find the value of force exerted by the compressed air on the small piston (F1).
Principle of Pascal's Law:
According to Pascal's law, the pressure applied to a fluid in a confined space is transmitted equally in all directions.
Formula:
F1/F2 = A1/A2
Where,
F1 = Force exerted on the small piston
F2 = Force exerted on the large piston
A1 = Area of the small piston
A2 = Area of the large piston
Calculation:
Area of the small piston (A1) = π * r1^2
= 3.14 * (0.05)^2
= 0.00785 m^2
Area of the large piston (A2) = π * r2^2
= 3.14 * (0.15)^2
= 0.07065 m^2
Using the formula F1/F2 = A1/A2, we can find the value of F1.
F1/F2 = A1/A2
F1 = (A1/A2) * F2
The force exerted on the large piston (F2) can be calculated using the formula F2 = m * g, where g is the acceleration due to gravity.
F2 = m * g
= 1350 kg * 9.8 m/s^2
= 13230 N
Substituting the values of A1, A2, and F2 in the formula, we get:
F1 = (0.00785 m^2 / 0.07065 m^2) * 13230 N
= 0.1111 * 13230 N
≈ 1470 N
Therefore, the value of F1 is approximately 1470 N, which is equal to 1.47 × 10^3 N.
Hence, the correct answer is option C) 1.5 × 10^3 N.
Radius of small piston (r1) = 5 cm = 0.05 m
Radius of large piston (r2) = 15 cm = 0.15 m
Mass of the load (m) = 1350 kg
We need to find the value of force exerted by the compressed air on the small piston (F1).
Principle of Pascal's Law:
According to Pascal's law, the pressure applied to a fluid in a confined space is transmitted equally in all directions.
Formula:
F1/F2 = A1/A2
Where,
F1 = Force exerted on the small piston
F2 = Force exerted on the large piston
A1 = Area of the small piston
A2 = Area of the large piston
Calculation:
Area of the small piston (A1) = π * r1^2
= 3.14 * (0.05)^2
= 0.00785 m^2
Area of the large piston (A2) = π * r2^2
= 3.14 * (0.15)^2
= 0.07065 m^2
Using the formula F1/F2 = A1/A2, we can find the value of F1.
F1/F2 = A1/A2
F1 = (A1/A2) * F2
The force exerted on the large piston (F2) can be calculated using the formula F2 = m * g, where g is the acceleration due to gravity.
F2 = m * g
= 1350 kg * 9.8 m/s^2
= 13230 N
Substituting the values of A1, A2, and F2 in the formula, we get:
F1 = (0.00785 m^2 / 0.07065 m^2) * 13230 N
= 0.1111 * 13230 N
≈ 1470 N
Therefore, the value of F1 is approximately 1470 N, which is equal to 1.47 × 10^3 N.
Hence, the correct answer is option C) 1.5 × 10^3 N.
Free Test
FREE
| Start Free Test |
Community Answer
In a hydraulic lift, compressed air exerts a force F1 on a small pist...
Since pressure is transmitted undiminished throughout the fluid (Pascal's law)
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer?
Question Description
In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer?.
In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer?.
Solutions for In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a hydraulic lift, compressed air exerts a force F1 on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, then find the value of F1.a)1.4 × 105 Nb)2 × 105 Nc)1.5 × 103 Nd)1.9 × 103 NCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup