oil with density 706ko!" and viscosity 4-7×10 Pa floves out of storage tank below:- Determine the minimum diameter that results in a flow rate of 18 litres per minute. Provide answer in cm H = 1.4m 7m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Statement**

Oil with a density of \(700 \, \text{kg/m}^3\) and a viscosity of \(4.7 \times 10^{-2} \, \text{Pa}\cdot\text{s}\) flows out of the storage tank shown in the diagram. Determine the minimum diameter of the pipe that results in a flow rate of 18 liters per minute. Provide your answer in centimeters.

**Given Values:**
- Oil density: \(700 \, \text{kg/m}^3\)
- Oil viscosity: \(4.7 \times 10^{-2} \, \text{Pa}\cdot\text{s}\)
- Flow rate: 18 liters per minute
- Height (H): 1.4 meters
- Length (L): 7 meters

**Diagram Explanation**

The diagram is a simple schematic of an oil storage tank connected to an outlet pipe. The tank is roughly rectangular, with an inclined pipe positioned at the bottom, which facilitates the flow of oil. The pipe's inclination is characterized by the height \(H\) and the length \(L\). 

Key elements include:
- A vertical measurement denoted as \(H = 1.4\, \text{m}\), representing the height from the top of the tank to the top of the pipe.
- A horizontal measurement denoted as \(L = 7\, \text{m}\), representing the length of the inclined pipe.

The task involves calculating the minimal pipe diameter that will ensure oil flows at the desired rate, taking into account these physical constraints.
Transcribed Image Text:**Problem Statement** Oil with a density of \(700 \, \text{kg/m}^3\) and a viscosity of \(4.7 \times 10^{-2} \, \text{Pa}\cdot\text{s}\) flows out of the storage tank shown in the diagram. Determine the minimum diameter of the pipe that results in a flow rate of 18 liters per minute. Provide your answer in centimeters. **Given Values:** - Oil density: \(700 \, \text{kg/m}^3\) - Oil viscosity: \(4.7 \times 10^{-2} \, \text{Pa}\cdot\text{s}\) - Flow rate: 18 liters per minute - Height (H): 1.4 meters - Length (L): 7 meters **Diagram Explanation** The diagram is a simple schematic of an oil storage tank connected to an outlet pipe. The tank is roughly rectangular, with an inclined pipe positioned at the bottom, which facilitates the flow of oil. The pipe's inclination is characterized by the height \(H\) and the length \(L\). Key elements include: - A vertical measurement denoted as \(H = 1.4\, \text{m}\), representing the height from the top of the tank to the top of the pipe. - A horizontal measurement denoted as \(L = 7\, \text{m}\), representing the length of the inclined pipe. The task involves calculating the minimal pipe diameter that will ensure oil flows at the desired rate, taking into account these physical constraints.
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