8.15 An origin-destination pair is connected by a route with a performance function t₁ = 8+ x1, and another with a function t₂ = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin-destination flow is 4000 veh/h, determine user-equilibrium and system-optimal route travel times, total travel time (in vehicle minutes), and route flows.

8.13 Consider the situation described in Problem 8.11. If the total number of trips remains constant, determine the amount of amusement floor space that must be added to destination 2 to attract an additional 50 social/recreational trips.

Consider the following transformer circuit assuming an ideal transformer. In this circuit the signal generator will provide a 10-Volt peak-to-peak sinusoidal signal at a frequency of 1.0 kHz. Assume that L₁ = 0.65 H, L2 = 0.00492 H (=4.92 mH) and that the coupling constant = 0.99925. + VG1( R1 1k N1:N2 11.5:1 12 V1 N1 N2 V2 R2 8.2 1) Find the following using the theory presented in the prelab reading: a) Start with Equations (2) of the prelab reading and show that the input impedance to an ideal transformer is given by the equation for Z1 (=V1/11) in Equations (4) of the prelab reading. Equations (2) are: V₁ = joLI₁ + jœMI₂ and V₂ = j@MI₁ +j@L₂I₂ The equation for the input impedance is: Z₁ = 1½ = jwL₁ + (WM)² jwL₂+ZL b) Assuming that Z is a real impedance, find the equations for the real and imaginary parts of Z1. c) Use your equations from part (b) to calculate the value of the input impedance (Z) at an operating frequency of 200 Hz. Assume that the load impedance is 8.2 Ohms…

Use: R1 = 1.5K, R2 = 5K, R3 = 1K, R4 = 2K, R5 = 2K, R6 = 1K. 40%: Find the value for Vs (in V) such as IR2 = 1mA. 40%: Find the voltage VD. 20%: simulate the circuit in Falstad (attach the link). A 1,5k B R1 Vs L 5k P2 R2 R6 E C R3 С IR2= 1mA D H4 R4 2k 2k R5

5- A basic freeway has 3 lanes in each direction and is on flat terrain. It has a jam density of 190 veh/km and a capacity of 4750 veh/h. The spot speed of 5 cars was collected at the midpoint of a 3.4 km segment of this freeway. Vehicle Speed (km/hr) 1 86 2 89 3 95 4 5 99 100 a) Calculate the space mean speed b) Calculate the free flow speed based on the given information c) A directional weekday peak-hour volume of 4640 vehicles is observed, with 1320 vehicles arriving in the most congested 15-min period. If the traffic stream has 12% large trucks and buses determine the level of service 6- What are the steps that a 4-step model used to predict travel demand on roads network consists of? Briefly describe was sort of information each step provides? 7- The bitumen is a conventional bituminous binder has a penetration index of -1 and = 65°c. T800 pen a) Determine the stiffness modulus of this bitumen if the operating conditions are as follows: temperature of 25°c and loading time of…

Q) Find the location of centroid for the shaded area shown in Figure below. 20mm 42mm 23mm 30mm 30mm 10mm X

Question 5 (Force Method). Determine the reaction at the supports. Assume A is fixed and B and C are rollers. El is constant. 3 k/ft A 10 ft B 2 k/ft 10 ft C

Find the collapse load (Wu) for the one-end continuous beam shown below. Wu 6 m

Derive an expression for incompressible flow in a horizontal pipe of constant diameter andwithout fittings or valves which shows that the pressure is a linear function of pipe length. Whatother assumptions are required for this result? Is this result valid for non-horizontal pipes? Howwill the presence of fittings, valves and other hardware affect this result?