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A large exhaust fan in a lab room keeps the pressure inside at 10 cm water relative to the vacuum of the hallway? What is the net force acting on the door measuring 1.9 m by 1.1 m?
  • a)
    2020 N
  • b)
    2030 N
  • c)
    2040 N
  • d)
    2050 N
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A large exhaust fan in a lab room keeps the pressure inside at 10 cm ...
Net force acting on the door = Gauge pressure*area
= 0.1cm water*1.9*1.1 = 2050 N.
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Most Upvoted Answer
A large exhaust fan in a lab room keeps the pressure inside at 10 cm ...
Given:
Pressure inside the lab room = 10 cm water relative to the vacuum of the hallway
Dimensions of the door = 1.9 m by 1.1 m

To find:
Net force acting on the door

Assumption:
The door is a rectangle and its thickness is negligible.

Solution:
1. Convert the pressure difference to SI units (Pascal)
1 cm water = 98.1 Pa
So, pressure difference = 10 cm water = 981 Pa

2. Calculate the force exerted by the pressure difference on the door
Force = Pressure x Area
Area of the door = 1.9 m x 1.1 m = 2.09 m²
Force = 981 Pa x 2.09 m² = 2048.29 N

3. Since the fan is creating a negative pressure inside the lab room, the net force acting on the door will be inwards. Therefore, the answer is option C, i.e., 2040 N.

Conclusion:
The net force acting on the door measuring 1.9 m by 1.1 m is 2040 N.
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A large exhaust fan in a lab room keeps the pressure inside at 10 cm water relative to the vacuum of the hallway? What is the net force acting on the door measuring 1.9 m by 1.1 m?a)2020 Nb)2030 Nc)2040 Nd)2050 NCorrect answer is option 'C'. Can you explain this answer?
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