2. (Problem 2.5) For steady flow through a conical nozzle of length L, the velocity in the direction of flow,x direction, is approximately√x =Uo (1-1)-2where Uo is the velocity at the entrance to the nozzle.(a) Determine the acceleration in the x direction at x = 1 m for Uo = 5 m s¹ and L = 2 m.(b) The velocity given by the above equation is approximate. Identify two locations along thenozzle where the velocity will not be correct.

Answered: Image /qna-images/answer/c5e3c4bb-8dc1-4b31-bc96-e7b9f1dfe97f.jpg

Answered: 2. (Problem 2.5) For steady flow…

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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5. A sprinkler rotates around fixed Point C. The nozzle on Arm A has broken off. So, water exits Arm A in the radial direction, relative to the sprinkler at 2 m/s and the radial velocity of the water is increasing at 0.5 m/s². The sprinkler arms are rotating around Point Cat = 6 rad/s, and because the nozzle has broken, it is decelerating with Ö= -1 rad/s². At that moment, what are the radial (vr) and theta (ve) components of velocity of the water exiting the sprinkler at Point A? b. Express the velocity vector in rectangular coordinates, in terms of i and j unit vectors. a. Y X view from the top 0.1 m 8 = 6 rad /s Ö= -1 rad/s² A *w = 2 m/s *w = 0.5 m/s²
The rocket in vertical flight is being tracked by radar.At an instant, the radar readings are:
(c) An aircraft moves 30° from east to north with speed v, = 50 t for 4 seconds. Then changes its direction towards east with speed v, = 70 t for 3 seconds. Calculate the average velocity in unit vectors for that 7 second flight.
2) Caryn purchases an electronic telescope that automatically extends and rotates the lens to focus on incoming meteors in a meteor shower. In this instance, the telescope tube is elevating and extending 0.5m, L = 0.2 , L = deg at the same time. At a given instant, Ⓒ = 45°, 0 = 10 = constant, L = S -0.3 m/s². a. Find the magnitude of the velocity v (in m/s) of the lens at point 'P'. [Ans. to Check: |v| = 0.3296 b. C. Find the acceleration a (in m/s²) of the lens at point 'P'. [Ans. to Check: |a| = 0.357] Express v and a in terms of the unit vectors i and j (cartesian coordinates).
A nozzle is designed to move a liquid from V1 velocity to V2 in a linear fashion. The linear relationship here is V = ax + b and a and b are constant. As the flow is constant with V1 = 10 m / s at x1 = 0 and V2 = 25 m / s at x2 = 1m; a) local (local) acceleration, b) Convective acceleration (convective acceleration), c) Determine the acceleration of the liquid at the points x1 = 0 and x2 = 1 m.
Ex.5.3 The position of a particle moving along the x-axis is described by x = t3 – 108t in. where t is the time in sec. For the time interval t = 0 to t = 10 s (a) plot the position, velocity and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle. -
2. The velocity components expressed in m/s in a fluid flow is known to be: 2 u= 2yzt v=xy W=4xzt² Find the acceleration of a fluid particle at point, P (2m,1m,1m) when time is 2 s.
Determine the r-and 0-components of velocity and acceleration. 2.8' 3.9 370 Answers: V, = in./sec Va = in./sec i in./sec? in/sec? a, = ae = Find VA/B and vA/B- 315 m y Answers: VA/B = ! i+ i ! j) m/s VA/B = 25.104 m/s
7. Find the convective acceleration at the middle of a pipe which converges uniformly from 0.6 m diameter to 0.3 m diameter over 3 m length. The rate of flow is 40 lit/s. If the rate of flow changes uniformly from 40 lit/s to 80 lit/s in 40 seconds, find the total acceleration at the middle of the pipe at 20th second. [Ans. .0499 m/s² ; .11874 m/s]
2. A nozzle is designed to accelerate the fluid from V, to V2 in a linear fashion. If the flow is constant with V, = 10 m/s at x, = 0 and V, = 25 m/s at x2 = 1 m, determine the local acceleration, the convective acceleration, and the acceleration of the fluid at points (1) and (2).
3. a. An incompressible, inviscid fluid flows steadily past a ball of radius R, as shown in the figure below. According to a more advanced analysis of the flow, the fluid velocity along streamline A-B is given by R3 V = u(x)i = v. 1+ x3 where V is the upstream velocity far ahead of the sphere. Determine the acceleration experienced by fluid particles as they flow along this streamline.
Q.2: A train travels at v = 20(1 - e-3t) wheret in seconds and v in ft/s; (a):the distance after 2 seconds is:

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