Ch 14: Fluids and Elasticity

Knight Calc - Physics for Scientists and Engineers 5th Edition

Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796당신이 사용하는 게 아니라요?교과서 변경

Knight Calc 5th Edition

Ch 14: Fluids and Elasticity

문제 11a

14장, 문제 11a

The container shown in FIGURE EX14.11 is filled with oil. It is open to the atmosphere on the left. What is the pressure at point 1?

검증된 단계별 안내

Step 1: Identify the key concepts involved in the problem. This is a fluid mechanics problem, and the pressure at a given point in a fluid can be determined using the hydrostatic pressure formula. The formula is:

P = P

_atm+ρgh, where

P

_atm is atmospheric pressure,

ρ

is the density of the fluid,

g

is the acceleration due to gravity, and

h

is the depth of the fluid below the surface.

Step 2: Determine the atmospheric pressure. Since the container is open to the atmosphere on the left, the pressure at the surface of the oil is equal to the atmospheric pressure,

P

_atm. This value is typically given in the problem or can be approximated as 101,325 Pa (standard atmospheric pressure).

Step 3: Identify the depth of point 1 below the surface of the oil. Measure or calculate the vertical distance

h

from the surface of the oil to point 1. This depth is crucial for calculating the hydrostatic pressure contribution.

Step 4: Use the density of the oil. The problem may provide the density of the oil,

ρ

, or you may need to look it up. Ensure the units are consistent (e.g., kg/m³).

Step 5: Substitute the values into the hydrostatic pressure formula. Combine the atmospheric pressure, the density of the oil, the acceleration due to gravity (

g

, approximately 9.8 m/s²), and the depth

h

to calculate the pressure at point 1 using the formula:

P = P

_atm+ρgh.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at rest due to the weight of the fluid above it. It increases with depth in a fluid and is calculated using the formula P = ρgh, where P is the pressure, ρ is the fluid density, g is the acceleration due to gravity, and h is the height of the fluid column above the point in question.

Atmospheric Pressure

Atmospheric pressure is the pressure exerted by the weight of the atmosphere above a given point. At sea level, this pressure is approximately 101,325 Pa (Pascals). In open containers, the pressure at the surface of the fluid is equal to the atmospheric pressure, which influences the pressure at various points within the fluid.

Pascal's Principle

Pascal's Principle states that when pressure is applied to a confined fluid, the pressure change is transmitted undiminished throughout the fluid. This principle is crucial for understanding how pressure is distributed in a fluid, allowing us to determine the pressure at different points within the fluid, such as point 1 in the given scenario.