A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m³ as the weight density of water.) W = ********** T 1 m † 4 m X J 6m 4 m +
A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m³ as the weight density of water.) W = ********** T 1 m † 4 m X J 6m 4 m +
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Problem Statement
A tank is full of water. Find the work \( W \) required to pump the water out of the spout. (Use \( 9.8 \, \text{m/s}^2 \) for \( g \). Use \( 1000 \, \text{kg/m}^3 \) as the density of water.)
### Diagram Description
The diagram illustrates a trapezoidal tank which is filled with water. The tank dimensions are:
- Height: 4 meters
- Length: 6 meters
- Top width: 4 meters
- Positioned 1 meter below the spout
A spout is shown extending vertically upward 1 meter from the top of the tank.
### Calculation
The formula for work done is given by:
\[ W = \int \text{(Force of water)} \times \text{(Distance to move water)} \]
where force is calculated using the weight density of water and gravitational force.
### Answer
\[ W = \text{______} \, \text{J} \]
(Note: The correct numerical value of work needs to be computed based on the dimensions and given conditions.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29f9c049-e4a2-4005-a5d6-aa9835638972%2Ff34126bc-c728-4d86-8d8d-223819824185%2F04m18ad_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A tank is full of water. Find the work \( W \) required to pump the water out of the spout. (Use \( 9.8 \, \text{m/s}^2 \) for \( g \). Use \( 1000 \, \text{kg/m}^3 \) as the density of water.)
### Diagram Description
The diagram illustrates a trapezoidal tank which is filled with water. The tank dimensions are:
- Height: 4 meters
- Length: 6 meters
- Top width: 4 meters
- Positioned 1 meter below the spout
A spout is shown extending vertically upward 1 meter from the top of the tank.
### Calculation
The formula for work done is given by:
\[ W = \int \text{(Force of water)} \times \text{(Distance to move water)} \]
where force is calculated using the weight density of water and gravitational force.
### Answer
\[ W = \text{______} \, \text{J} \]
(Note: The correct numerical value of work needs to be computed based on the dimensions and given conditions.)
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