Quiz #29

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John QPE

Straight Outta Compton
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Some practice concepts, I realize this is not in NCEES format.

A study of freeway flow at a particular site has resulted in a flow-density relationship, as follows:

Q = 63.4k - 0.46k^2 

From this relationship:

(a) Find the free-flow speed and jam density.

(b) Determine the critical speed and critical density.

(c) Determine the capacity.

 
Good practice problem John QPE! When I get home from work I will crack open my EET binder and get these questions answered. Thank you for posting this!

 
a) free flow = 63.4mph Jam Density = 137.8 veh/mi

b) critical speed = 31.7 mph  critical density = 68.9 veh/mi

c) K =2184.54 veh/hr

I used an old textbook for equations, are these equations in any of the required texts for the PE, I could not find them?

 
Let some others chime in if they so please.

These are basic speed/flow equations. I don't think you'll see them in any of the required texts for Transpo ... maybe somewhere in the HCM. You should have a general Traffic Engineering text with you for the exam. These relationships are fair game under the topic of uninterrupted flow.

On another note, it looks like we have a few Transpo peeps this cycle ... try some of the other quizzes if you get a chance. Most are answered, but they are all a very good representation of what you may see in the PM.

 
Last edited by a moderator:
Don't forget about the FE Reference Handbook.  There can be some useful material in there.

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

 
Good point ptatohed! Had I used that, my process for solving this problem would have been much quicker and simplified! Thanks for bringing this to our attention/reminding us of this!!

 
I like this problem, I got the same answer. the way I did it

Given,  Q = 63.4k - 0.46k^2

At maximum flow, dQ/dk = 0  

or, 63.4 - 0.46 * 2k = 0

or k= 68.91 veh/mi (critical/optimum density)

Q = 63.4 * 68.91 - 0.46 * (68.91) ^2 = 2184.54 veh/hr (maximum flow)

Critical speed =  maximum flow / critical density = 31.7 mi/hr

Free flow speed = 2 * Critical speed = 63.4 mi/hr

Jam density = 2 * Critical Density =2 * 68.91  = 137.8 veh/mi

 
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