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How would pressure change if :
(a) area is doubled, keeping thrust constant .
(b) thrust is doubled , keeping area constant.?
Most Upvoted Answer
How would pressure change if :(a) area is doubled, keeping thrust cons...
Pressure is defined as the force applied per unit area. It can be calculated using the formula:
Pressure (P) = Thrust (F) / Area (A)
Understanding how pressure changes with variations in area and thrust is crucial. Let’s break down both scenarios:
Scenario (a): Area is doubled, keeping thrust constant
- Constant Thrust: In this case, the thrust remains the same.
- Doubling Area: If the area is doubled (A becomes 2A), the new pressure can be calculated as follows:
P' = F / (2A)
- Resulting Pressure: Since the area has increased, the pressure will decrease. Specifically, the new pressure will be half of the original pressure.
Scenario (b): Thrust is doubled, keeping area constant
- Constant Area: Here, the area remains unchanged.
- Doubling Thrust: If the thrust is doubled (F becomes 2F), the new pressure is calculated as:
P' = (2F) / A
- Resulting Pressure: The pressure will increase. In this case, the new pressure will be double the original pressure.
Summary of Results
- For Scenario (a):
- Area doubled → Pressure halved
- P' = P / 2
- For Scenario (b):
- Thrust doubled → Pressure doubled
- P' = 2P
Understanding these principles helps in grasping how pressure behaves under different conditions, essential in fields like physics and engineering.
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How would pressure change if :(a) area is doubled, keeping thrust constant .(b) thrust is doubled , keeping area constant.?
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