Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is...

  

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Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1 Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly pushed into water as shown. The water rises into the container by a distance l (and compresses the air inside isothermally) as the cylinder is submerged into water by distance, d as shown in the schematic. 1. Derive the relation between 1 and d in terms of water density and container geometry (A and H). Plot/sketch the same for 0 ≤ d ≤ H taking H = 1m. 2. Water H Air A 1

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Step 13 Initially the container contains air at atmospheric pressure which i... View the full answer