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Ch. 13 - Fluids
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Giancoli Douglas 5th editionCh. 13 - Fluids문제 92
13장, 문제 92

A ship, carrying fresh water to a desert island in the Caribbean, has a horizontal cross-sectional area of 2240 m² at the waterline. When unloaded, the ship rises 8.55 m higher in the sea. How much water (m³) was delivered?

검증된 단계별 안내
1
Determine the volume of water displaced by the ship when it rises. The volume of displaced water is equal to the product of the cross-sectional area of the ship at the waterline and the height it rises. Use the formula: V=A⋅h, where A is the cross-sectional area and h is the height the ship rises.
Substitute the given values into the formula. The cross-sectional area A is 2240 m², and the height h is 8.55 m. The formula becomes: V=2240⋅8.55.
Recognize that the volume of water displaced by the ship is equal to the volume of water delivered, as the ship rises by the same amount when the water is unloaded.
Perform the multiplication to calculate the volume of water delivered. This will give the result in cubic meters (m³).
Ensure the units are consistent throughout the calculation and confirm that the final volume is expressed in cubic meters, as required by the problem.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
6m
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주요 개념

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

Buoyancy

Buoyancy is the upward force exerted by a fluid that opposes the weight of an object immersed in it. According to Archimedes' principle, the buoyant force on an object is equal to the weight of the fluid displaced by the object. In this scenario, the ship's rise in water level when unloaded indicates a change in the volume of water displaced, which is crucial for calculating the volume of water delivered.
추천 영상:
가이드 코스
11:06
Intro to Buoyancy & Buoyant Force

Volume Displacement

Volume displacement refers to the amount of fluid that is moved out of the way when an object is submerged in it. For the ship, the volume of water displaced when it is loaded with fresh water can be calculated using the change in height it rises in the water and its cross-sectional area. This relationship is essential for determining how much water was delivered to the island.
추천 영상:
가이드 코스
05:21
Volume Thermal Expansion

Cross-Sectional Area

The cross-sectional area is the area of a particular section of an object, perpendicular to a specified direction. In this case, the ship's horizontal cross-sectional area at the waterline is given as 2240 m². This area is used in conjunction with the change in height of the ship to calculate the volume of water delivered, as the volume can be found by multiplying the area by the height change.
추천 영상:
가이드 코스
08:10
Calculating the Vector (Cross) Product Using Components
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