A parachutist jumps out of a stationary hot air balloon. The air resistance force on the...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A parachutist jumps out of a stationary hot air balloon. The air resistance force on the parachutist is assuming to be proportional to the square of the velocity of the parachutist: Fair resistance = CV2 c is the drag coefficient, Eq5 v is the velocity of the falling parachutist Fair resistance is the air resistance force The falling velocity of the parachutist can be predicted using the following formula: v(t)=. gm √om tanho Eq6 с Suppose the drag coefficient c = 0.25kg/m, g = 9.81 m/s² and we want to find the mass of the parachutist which will make v = 36 m/s after falling for time -4s. In order to solve this problem, we need to reformulate Eq 6 into a "roots" problem as shown in Eq 7: f(m)= gm с tanh (√1) - v(t)=0 Eq7 m i. Develop a MATLAB program to plot the above equation (Eq 7) with the x axis between 50 kg and 200 kg, and step size 5 kg. ii. Based on the graph generated by (i), estimate the root for Eq 7 (that is when the equation crosses the x axis) and also determine the upper and lower bounds for the Bisection method. iii. Develop a MATLAB program to implement the Bisection Method and use the program to find the root for Eq. 7 with the upper and lower bounds obtained in (ii) and the stopping criterion = 0.01%. iv. Compare and comment the values of root obtained in (ii) and (iii). A parachutist jumps out of a stationary hot air balloon. The air resistance force on the parachutist is assuming to be proportional to the square of the velocity of the parachutist: Fair resistance = CV2 c is the drag coefficient, Eq5 v is the velocity of the falling parachutist Fair resistance is the air resistance force The falling velocity of the parachutist can be predicted using the following formula: v(t)=. gm √om tanho Eq6 с Suppose the drag coefficient c = 0.25kg/m, g = 9.81 m/s² and we want to find the mass of the parachutist which will make v = 36 m/s after falling for time -4s. In order to solve this problem, we need to reformulate Eq 6 into a "roots" problem as shown in Eq 7: f(m)= gm с tanh (√1) - v(t)=0 Eq7 m i. Develop a MATLAB program to plot the above equation (Eq 7) with the x axis between 50 kg and 200 kg, and step size 5 kg. ii. Based on the graph generated by (i), estimate the root for Eq 7 (that is when the equation crosses the x axis) and also determine the upper and lower bounds for the Bisection method. iii. Develop a MATLAB program to implement the Bisection Method and use the program to find the root for Eq. 7 with the upper and lower bounds obtained in (ii) and the stopping criterion = 0.01%. iv. Compare and comment the values of root obtained in (ii) and (iii).
Expert Answer:
Answer rating: 100% (QA)
ANSWER GIVEN THAT MatLab program clear all clc given equation c025 g981 v36 t... View the full answer
Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
Students also viewed these programming questions
-
The Shift Supervisor performs the role of RC in the ECC. Shift Supervisors progress through the System Operator positions which perform the TOP, TSP and BA functions and thus are familiar with the...
-
You are considering a job offer. The job offers an annual salary of $42,000, $45,000, and $48,000 a year for the next three years, respectively. The offer also includes a starting bonus of $1,000...
-
Find Io in the circuit shown using nodal analysis. 10k 2I 2mA 101 Iz Io
-
The relationship between the area of the pupil of the eye and the intensity of light was analyzed by B. H. Crawford. Crawford concluded that the area of the pupil is square millimeters when x units...
-
You push with a steady force of \(19 \mathrm{~N}\) on a \(48-\mathrm{kg}\) desk fitted with casters (wheels that swivel) on its four feet. How long does it take you to move the desk \(5.9...
-
Dexter Company applies the direct write- off method in accounting for uncollectible accounts. Prepare journal entries to record the following selected transactions of Dexter. March 11 Dexter...
-
Predict what would happen if you dragged the balloon off the sweater and brought it quite close to the wall but did not touch the wall. Explain your reasoning behind the prediction?
-
Bob Burley and his brother Buford ran the best restaurant in Dallas, Texas. Many out-of-towners would visit Dallas and go to Burleys Biscuits, Beef, and Veggies for a good wholesome meal. One thing...
-
If the fixed expenses of a product increase while variable expenses and the selling price remain constant, what will happen to the total contribution margin and the break-even point? Contribution...
-
An investor buys 100 shares of a stock, shorts 60 call options on the stock with strike price of $20 and buys 60 put options on the stock with strike price of $10. All options are one-year European...
-
Employee compensation and benefits are a key way that companies are able to attract talented employees. To design a competitive compensation and benefits package, HR professionals choose from an...
-
What is the Act of eliminating discrimination against people with disabilities.
-
7. Identify three (3) key provisions of relevant legislation that apply to provision of customer services Sale of Goods Act 1954 Occupational Safety and Health Act 1984 Disability Services Act 1993
-
Hi Tech Corporation (HTC) expects to order 295,000 memory chips for inventory during the coming year, and it will use this inventory at a constant rate. Fixed ordering costs are $275 per order; the...
-
"Picasso, Braque, Mondrian, Miro, Kandinsky, Brancusi, even Klee, Matisse and Czanne derive their chief inspiration from the medium they work in. The excitement of their art seems to lie most of all...
-
Calculate Total Contribution Margin for the same items. Total Revenue Total Variable Costs Total Contribution Margin $50.00 a. $116.00 $329.70 b. $275.00 $14,796.00 $7,440.00 c. $40,931.25 d....
-
A horizontal cylinder is separated into two compartments by an adiabatic, frictionless piston. One side contains 0.2 m3 of nitrogen and the other side contains 0.1 kg of helium, both initially at...
-
Reconsider Prob. 18-117. If the school management goes for a larger turbine with a blade diameter of 30 m, what is the required average velocity of wind? Prob. 18-117 A school currently pays $23,000...
-
Geothermal liquid water from a well is available at 210oF at a rate of 86,000 lbm/h and is to be used for space cooling using an absorption refrigeration system. Geothermal water leaves the generator...
-
At the end of the flight, the radiosonde is dropped and falls to earth by parachute. Suppose the parachute achieves its terminal speed at a height of \(30 \mathrm{~km}\). As it descends into the...
-
When you exhale, all of the air in your lungs must exit through the trachea. If you exhale through your nose, this air subsequently leaves through your nostrils. The area of your nostrils is less...
-
A balloon is launched at sea level, where the air pressure is \(100 \mathrm{kPa}\). The density in the hot-air chamber is \(1.0 \mathrm{~kg} / \mathrm{m}^{3}\). What is the density of the air when...
Study smarter with the SolutionInn App