Concept explainers
Tofind:the streamlines for the flow of water around the inside of right-angle boundary, velocity potential, stream function and velocity.
Answer to Problem 32E
The streamlines for the given flow of water is
The stream function is
The velocity
Explanation of Solution
Given:
Concept used:
Calculation:
The sine of the angle is given by the ratio of length of the perpendicular to the hypotenuse, therefore in right angled triangle
Put the values
Thus, the height of h of the side is 25.98 feet.
Since the tangent of the angle is given by the ratio of the length of the perpendicular to the base, therefore in right angled triangle
Put the values
Since
Hence the angle of depression from the top of the side to the end of the side at the ground is
Assume that the angle o f depression of the ride is bounded by safety restrictions to be less than
When the minimum angle of depression is
When the maximum angle of depression is
Hence, the rider travels horizontally between
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- 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