I am having trouble with this computer aided engineering problem in Matlab. A two-inch diameter craft ball is thrown vertically. The initial velocity of the ball is 20 ft/s. Neglecting drag, draw a free body diagram and formulate a first order ODE that governs the velocity of the ball. Is the ODE linear or non-linear? Use Euler’s first order method to determine the “drag free” time required to achieve maximum elevation. Check your solution with the analytic solution to the ODE that governs the motion of the ball. Drag force is known to be proportional to the velocity squared. Draw a free body diagram and formulate a first order ODE that governs the actual velocity of the ball. Is the ODE linear or non-linear? To determine the drag coefficient effect, an experiment has been conducted that showed the terminal velocity of the ball (during a free fall) to be 20 ft/s. Use Euler’s method to estimate the “actual” time to achieve maximum elevation for the case that the ball is thrown up with the given initial velocity (20 ft/s). I worked out the v(t) = -32.2 * t + 20 continuing from here is giving me issue. Any hints or examples would be apprciated.
I am having trouble with this computer aided engineering problem in Matlab. A two-inch diameter craft ball is thrown vertically. The initial velocity of the ball is 20 ft/s. Neglecting drag, draw a free body diagram and formulate a first order ODE that governs the velocity of the ball. Is the ODE linear or non-linear? Use Euler’s first order method to determine the “drag free” time required to achieve maximum elevation. Check your solution with the analytic solution to the ODE that governs the motion of the ball. Drag force is known to be proportional to the velocity squared. Draw a free body diagram and formulate a first order ODE that governs the actual velocity of the ball. Is the ODE linear or non-linear? To determine the drag coefficient effect, an experiment has been conducted that showed the terminal velocity of the ball (during a free fall) to be 20 ft/s. Use Euler’s method to estimate the “actual” time to achieve maximum elevation for the case that the ball is thrown up with the given initial velocity (20 ft/s). I worked out the v(t) = -32.2 * t + 20 continuing from here is giving me issue. Any hints or examples would be apprciated.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.33P
Related questions
Question
I am having trouble with this computer aided engineering problem in Matlab.
- A two-inch diameter craft ball is thrown vertically. The initial velocity of the ball is 20 ft/s.
- Neglecting drag, draw a free body diagram and formulate a first order ODE that governs the velocity of the ball. Is the ODE linear or non-linear?
- Use Euler’s first order method to determine the “drag free” time required to achieve maximum elevation. Check your solution with the analytic solution to the ODE that governs the motion of the ball.
- Drag force is known to be proportional to the velocity squared. Draw a free body diagram and formulate a first order ODE that governs the actual velocity of the ball. Is the ODE linear or non-linear?
To determine the drag coefficient effect, an experiment has been conducted that showed the terminal velocity of the ball (during a free fall) to be 20 ft/s. Use Euler’s method to estimate the “actual” time to achieve maximum elevation for the case that the ball is thrown up with the given initial velocity (20 ft/s).
I worked out the v(t) = -32.2 * t + 20
continuing from here is giving me issue. Any hints or examples would be apprciated.
Transcribed Image Text:2. A two-inch diameter craft ball is thrown vertically. The initial velocity of the ball
is 20 ft/s.
a. Neglecting drag, draw a free body diagram and formulate a first order
ODE that governs the velocity of the ball. Is the ODE linear or non-
linear?
b. Use Euler's first order method to determine the “drag free” time required
to achieve maximum elevation. Check your solution with the analytic
solution to the ODE that governs the motion of the ball.
c. Drag force is known to be proportional to the velocity squared. Draw a
free body diagram and formulate a first order ODE that governs the actual
velocity of the ball. Is the ODE linear or non-linear?
d. To determine the drag coefficient effect, an experiment has been
conducted that showed the terminal velocity of the ball (during a free fall)
to be 20 ft/s. Use Euler's method to estimate the "actual" time to achieve
maximum elevation for the case that the ball is thrown up with the given
initial velocity (20 ft/s).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Draw a free body diagram and formulate a first order ODE that governs the velocity of the ball
VIEWStep 2: Use Euler’s first order method to determine the drag free time required to achieve maximum elevation
VIEWStep 3: Drag force is known to be proportional to the velocity squared. Draw a free body diagram and formula
VIEWStep 4: Determine the drag coefficient effect.
VIEWSolution
VIEW
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 8 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning