Concept explainers
To calculate: the work done to raise the elevator from the basement to the third floor by 30ft height.
Answer to Problem 28RE
The total work required to raise the elevator form basement to the third floor is
Explanation of Solution
Given information:
The weight of elevator is 1,600 lb.
The weighs of cable is
Length of cable is 200 ft.
The height between basement and third floor is 30 ft.
Calculation:
Calculate the work done by the elevator
Here, W is weight of elevator and d is the distance from basement to third floor.
Substitute 1600 lb for W and 30 ft for d in Equation (1).
Determine the work needed to raise the bottom of the cable:
Here,
Substitute (200-30) ft for
Expression to find the work required to raise the elevator by the cable at the third floor
(0 ft to 30 ft):
Here,
Substitute 0 for a, 30 for b, and
Find the total work required as shown below:
Substitute
Therefore, total work required to raise the elevator form basement to third floor is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning