Homework Help is Here – Start Your Trial Now!
Science
Physics
Problem #1. You want to design a reliable system that will launch the ball, in a curvilinear motion, for the highest vertical distance. The height that the ball can attain is dependent on two parameters at launch release: the angle of release to the horizontal and the initial velocity imparted to the ball. The system you are designing will release the ball at 10 m/s reliably. Use excel show the angle, which results in the maximum height. The applicable equation is: sin² 0 * v^2 h 2g where g is the gravitational constant. • You must use Excel to set up a worksheet and find how the height varies with the release angle. Submit both the worksheet and a copy of the plot of the height versus angle. Copy them into Word and print out on one page. Also answer the following questions: What is the maximum height attained for the specified velocity and at what angle? If you double the velocity how much does the height change? And if you half the velocity what are the results?

Problem #1. You want to design a reliable system that will launch the ball, in a curvilinear motion, for the highest vertical distance. The height that the ball can attain is dependent on two parameters at launch release: the angle of release to the horizontal and the initial velocity imparted to the ball. The system you are designing will release the ball at 10 m/s reliably. Use excel show the angle, which results in the maximum height. The applicable equation is: sin² 0 * v^2 h 2g where g is the gravitational constant. • You must use Excel to set up a worksheet and find how the height varies with the release angle. Submit both the worksheet and a copy of the plot of the height versus angle. Copy them into Word and print out on one page. Also answer the following questions: What is the maximum height attained for the specified velocity and at what angle? If you double the velocity how much does the height change? And if you half the velocity what are the results?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
icon
Concept explainers
Topic Video
Question
Problem #1. You want to design a reliable system that will launch the ball, in a curvilinear motion, for the highest vertical distance. The height that the ball can attain is dependent on two parameters at launch release: the angle of release to the horizontal and the initial velocity imparted to the ball. The system you are designing will release the ball at 10 m/s reliably. Use excel show the angle, which results in the maximum height. The applicable equation is: sin? 0 * v^2 h = 2g where g is the gravitational constant. You must use Excel to set up a worksheet and find how the height varies with the release angle. • Submit both the worksheet and a copy of the plot of the height versus angle. Copy them into Word and print out on one page. Also answer the following questions: • What is the maximum height attained for the specified velocity and at what angle? If you double the velocity how much does the height change? And if you half the velocity what are the results? Problem #2. When the Mach number is higher than 1 a shock wave forms. That is what leads to a sonic boom. All supersonic vehicles, that includes airplanes or rockets experience that phenomena. The Mach number behind the shock, M2 can be calculated from knowing the initial flight Mach number, M1 and the properties of the air or fluid. Gamma, y, which represents the ratio of specific heats is defined at 1.4 for dry air. (y – 1)M² + 2 M² = 2yM? — (у — 1) Set up a Excel spreadsheet to calculate the Mach number behind the shock, M2. Use a small stepsize (smaller than 0.1) and use the initial Mach number, M1 from 1 to 6. Notice that the Mach number after the shock is always below one and the drop is significant. Then calculate the percent change with respect to M1 from the following equation M1 – M2 A= * 100 M1 At what initial Mach number does the change equal to 75% and then 90%. Your M, has to be within less than 0.5% and 0.025% for 75% and 90%, respectively.
Transcribed Image Text:Problem #1. You want to design a reliable system that will launch the ball, in a curvilinear motion, for the highest vertical distance. The height that the ball can attain is dependent on two parameters at launch release: the angle of release to the horizontal and the initial velocity imparted to the ball. The system you are designing will release the ball at 10 m/s reliably. Use excel show the angle, which results in the maximum height. The applicable equation is: sin? 0 * v^2 h = 2g where g is the gravitational constant. You must use Excel to set up a worksheet and find how the height varies with the release angle. • Submit both the worksheet and a copy of the plot of the height versus angle. Copy them into Word and print out on one page. Also answer the following questions: • What is the maximum height attained for the specified velocity and at what angle? If you double the velocity how much does the height change? And if you half the velocity what are the results? Problem #2. When the Mach number is higher than 1 a shock wave forms. That is what leads to a sonic boom. All supersonic vehicles, that includes airplanes or rockets experience that phenomena. The Mach number behind the shock, M2 can be calculated from knowing the initial flight Mach number, M1 and the properties of the air or fluid. Gamma, y, which represents the ratio of specific heats is defined at 1.4 for dry air. (y – 1)M² + 2 M² = 2yM? — (у — 1) Set up a Excel spreadsheet to calculate the Mach number behind the shock, M2. Use a small stepsize (smaller than 0.1) and use the initial Mach number, M1 from 1 to 6. Notice that the Mach number after the shock is always below one and the drop is significant. Then calculate the percent change with respect to M1 from the following equation M1 – M2 A= * 100 M1 At what initial Mach number does the change equal to 75% and then 90%. Your M, has to be within less than 0.5% and 0.025% for 75% and 90%, respectively.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Projectile motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS