Conceptual problem Dynamics Hibbeler 12 Edition

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SUMMARY

The discussion revolves around a conceptual problem from Hibbeler's Dynamics 12th Edition, specifically problem Pl2-4, which involves determining the acceleration of a plane given its wingspan and constant airspeed. Participants emphasize the need for accurate measurements from a provided photo to establish numerical values, while noting the lack of relevant equations in the problem statement. The conversation highlights the distinction between tangential and normal components of acceleration, particularly under constant speed conditions, and the importance of understanding the plane's motion at the moment captured in the photo.

PREREQUISITES
  • Understanding of kinematics, specifically acceleration concepts
  • Familiarity with circular motion and its components
  • Ability to interpret and measure from images
  • Knowledge of Hibbeler's Dynamics 12th Edition problem-solving strategies
NEXT STEPS
  • Research methods for measuring distances in photographs for physics problems
  • Learn about tangential and normal acceleration in circular motion
  • Study the principles of constant speed motion and its implications
  • Explore problem-solving strategies in Hibbeler's Dynamics textbook
USEFUL FOR

This discussion is beneficial for students studying dynamics, particularly those tackling conceptual problems in physics, as well as educators looking for strategies to guide students in understanding motion and acceleration concepts.

elvis.2
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Homework Statement



Pl2-4. The pilot tells you the wingspan of her plane and her
constant airspeed. How would you determine the acceleration
of the plane at the moment shown? Use numerical values and
take any necessary measurements from the photo.

Here is the photo to the problem
http://imageshack.us/photo/my-images/843/conceptual.jpg/

Homework Equations



All data and revelant questions are given on the problem statement

The Attempt at a Solution



I try to measure from the photo but didn't know if it was accurate
 
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Guiding questions:
What did you measure from the photo?
You need to say what you actually did.

What are the relevant equations?
None are provided in the problem statement.

Note: the problem asks for a strategy, not a solution. What was your strategy?
 
I try to measure the span of the smoke created by the plane in order to establish some numerical values and see if that relates to the acceleration but it also talks about the wingspan of the plane, that is part of the confusion I have.
 
A measurement of so-and-so centimeters on the picture tells you nothing about how far the plane actually went or the dimensions of the motion. If only there was some known length in the picture that you could use as a scale... do you know what kind of acceleration would be important here: you are told the plane flies at a constant speed?
 
Exactly as you there is not much given data and measurements won't help much. Well from the photo it can be say that the plane flies along a circular path but then if that is true, it would have tangential and normal components of acceleration. The planes does flies at constant speed.
 
It doesn't matter what the plane was doing before it got to its current position, as shown by the smoke trail.

All that matter is what it is doing when the photo was actually taken.

Sorry if that is a bit cryptic, but it's hard to give you any hints about this without telling you the answer.
 
@elvis.2: If the plane flies at a constant speed, what is it's tangential acceleration? (I'm kinda disappointed that you gave up on measurements so quickly - can you think of no way to determine distances in the photo? Are there no known distances in the photo that you can use as a scale?)

@AlephZero: I'm surprised, surely the type of motion affects the acceleration and the past trajectory is a clue to that motion? Perhaps we need to discuss this behind the scenes - make sure we are on the same page?

The problem is asking us to guess how the motion continues after the previous curve - which is presumably part of the "conceptual" part.
 

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