Answered: a (m/s) 10 20 1(s) -D10 20

Engineering

Mechanical Engineering

a (m/s) 10 20 1(s) -D10 20

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A snowboarder’s velocity is tracked by a pulse-laser velocimeter as she descends the slope. These velocity data are stored and analyzed via an embedded curve fitting procedure to determine a velocity function of v(t) = 1.5t2 + 2t + 2 (t is time in seconds and v is velocity in ft/s). At time equal 0, position (x) is zero. Find her position (e.g., distance traveled), velocity and acceleration formulations and values of each when time equals 15 seconds. Clearly write the formulas before finding respective values at t = 15 seconds!
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For the given velocity triangle, if you know that at the inlet, alpha is -20, beta is 59, the relative velocity is 78 m/s, r= 20 cm, rotation speed is 180 rpm. At the exit, alpha is 30 and the absolute velocity is 35 m/s. Find the following: 1. the relative velocity at the exit in (m/s) 2. the work in (KJ/Kg) Vw1 U, V1 V1 V2 Uz Center of wheel
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An engineer group studies on the design of a tour balloon for Cappadocia. It is planned that the design details will be determined through the use of a small-scale model for a prototype balloon. The prototype balloon will be departing from a hill with 30 ? height. In the small-scale model, a platform with 0.1 ? height will be used to simulate the hill. a) Determine the initial vertical speed (?0) of the balloon when the initial vertical velocity for the model is found to be 3 ?/?. . b) How long will the prototype reach the height that the model reaches within 33 minutes? . c) Calculate the corresponding height (ℎ) for the prototype when the height is 60 ? for the model.
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1 Velocities are measured at different locations using a data logger and the field is given by the technician in the following vector form. Given that. du du ax = +u-+v. +w du du ôt əx ду əz V = 3tî +xzj+t Find the magnitude of velocity and acceleration at point (1,1,1) at time t = 1 second. Write the acceleration vector. If the fluid is incompressible, show that the flow field satisfies the conservation of mass. zj+ty²k m/s Əv dv dv Əv +u- +v +w- at Əx ду əz dw dw dw dw + w a ₂ = +u Ət Əx dy əz +v
The traffic volume data table below counts was taken on rural a highway during the morning peak hour at (8:00-9:00 am) on Monday of a week. Time periods (minute) 8:00-8:15 AM 8:30-9:00 AM Number of vehicles 385 790 The average time headway (sec) during 8:00-9:00 am 2.25 a) Find the traffic volume for the period from 8:15 to 8:30 am. b) Determine the hourly volume (HV), the maximum rate of flow within the hour, and the peak hour factor (PHF). c) Estimate the density and speed of traffic if an average spacing of 150 ft. d) Estimate the daily volume for Monday if the hourly expansion factor (HEF) is 22.05.
1. A skateboarder is trying to record his flight time into the lake from the ramp shown below. The cliff is about 30 ft. high and he is traveling at a constant speed of 35 mph. The angle of the ramp is 55° from the horizontal. a. Calculate how long the skateboarder will be in the air (in seconds). [Ans. to check: 3.2 s] b. What is the horizontal distance he travels (in feet)? In other words, find the value of "d". [Ans. to check: 94.2 ft] 0 = 55' H=30ft d 19