Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft 5 ft 8 ft (a) Calculate the work required to pump the water to the level of the top of the trough. (b) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft above the top of the trough. (c) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft above the top of the trough, now assuming that the trough is only filled to a depth of 2 feet. Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m long, has radius 3 m, and the highest part of the tank is 3 m underground. Gasoline has a density of 748.9 kg/m³ and the tank is full. Calculate the work required to pump all the gasoline to ground level.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 41A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00...
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question 2 and 3 please.

Question 1 A 5 m chain with density 2 kg/m hangs off the roof of a building. How much work is required to pull
the chain to the roof?
Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³.
2 ft
5 ft
8 ft
(a) Calculate the work required to pump the water to the level of the top of the trough.
(b) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft
above the top of the trough.
(c) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft
above the top of the trough, now assuming that the trough is only filled to a depth of 2 feet.
Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m long, has radius
3 m, and the highest part of the tank is 3 m underground. Gasoline has a density of 748.9 kg/m and
the tank is full. Calculate the work required to pump all the gasoline to ground level.
Transcribed Image Text:Question 1 A 5 m chain with density 2 kg/m hangs off the roof of a building. How much work is required to pull the chain to the roof? Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft 5 ft 8 ft (a) Calculate the work required to pump the water to the level of the top of the trough. (b) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft above the top of the trough. (c) Write a definite integral that calculates the work required to pump the water out of a spout 2 ft above the top of the trough, now assuming that the trough is only filled to a depth of 2 feet. Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m long, has radius 3 m, and the highest part of the tank is 3 m underground. Gasoline has a density of 748.9 kg/m and the tank is full. Calculate the work required to pump all the gasoline to ground level.
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