F]Vehicles travel at constant speeds on a one-lane one-way street between sections X and Y. Anobserver located at point X observes the four vehicles passing point X during a period of 10seconds. The speeds of the vehicles are measured as 45, 45, 40, and 30mph, respectively.Calculate the average flow, density, time mean speed, and space mean speed.

Answered: Vehicles travel at constant speeds on a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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F]
Vehicles travel at constant speeds on a one-lane one-way street between sections X and Y. An
observer located at point X observes the four vehicles passing point X during a period of 10
seconds. The speeds of the vehicles are measured as 45, 45, 40, and 30mph, respectively.
Calculate the average flow, density, time mean speed, and space mean speed.

Expert Solution

Step 1

Vehicles are travelling with constant speed between sections X and Y

Observer observes four vehicles in ten seconds

$\begin{array}{rcl} Flow & = & \frac{No of vehicles}{Time period} \\ = & \frac{4}{10} (v e h / s e c) \\ = & 0.4 \times \times 60 \times 60 \\ Average flow & = & 1440 veh / hr \end{array}$

Spot speeds of four vehicles are 45, 45, 40 and 30 mph

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