Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. Uf2 k₂ q=U₁k- If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 57 54 45 us= 39 27 20 17 16 26 42 55 73 87 98 Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum volume maximum volume veh/mi veh/h

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression.
Uf2
q= = Ufk -
k₁
If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and
k is in veh/mi. Do not include units in your answer.)
Speed (mi/h) Density (veh/mi)
us
57
54
45
39
27
20
17
16
26
42
55
73
87
98
Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h).
density at maximum volume
maximum volume
veh/mi
veh/h
Transcribed Image Text:Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. Uf2 q= = Ufk - k₁ If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) us 57 54 45 39 27 20 17 16 26 42 55 73 87 98 Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum volume maximum volume veh/mi veh/h
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