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

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

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

See similar textbooks

Similar questions

A particle moves along the x axis from x; to xf. Of the following values of the initial and final coordinates, which results in a negative displacement? x = -4m, xf = 2m x₂ = -4m, f =-2 m ○ x₁ = 4m, f = 6 m x₂ = 8 m, f = 4 m x = -4m, f none of these = 4 m
(xo, Yo) Ay = Number (x,y) CC) 00 BY SA USask Engineering Given the above graph plotting y position against a position, where 0 = 0 m, 30 = -4 m, z = 5 m, and y0 = 0 m, what the change in vertical position over this time interval? Write your answer as an integer. m →X
The record of acceleration measurements made on an experimental vehicle during its rectilinear motion is shown by the full line on the figure below. Use the dotted approximation and calculate the velocity at 2 and 4 seconds. Find the distance travelled from =0 tot =4 seconds. [Answer: 98.1m/s, 196.2 m/s, 360m] 10 g 5g t, sec Acceleration 4,
2. Connor lives on a steep hill and wants to conduct a Dynamics experiment with his car. He starts from rest at the top of the hill and releases the brakes. His acceleration down the grade is a function of velocity and is described by the equation a = 3.22 0.04v² where v is the velocity of his car in ft/sec. Predict the velocity of Connor's car at the bottom of the grade in mph. [Ans. to check: 6.12 mph] A 600¹ V
Use your matrix number by adding the last three digits to get the value of X on the velocityof plane A. The value of X will then need to be added with the digit of 150 as follows;Example; If your matrix number is AD190251,Velocity of plane A, VA = 150 + X km/hX = (2 + 5 + 1) = 8Therefore, the velocity of plane A, VA = 150 + X, = 150 + 8 = 158 km/h. SO MY LAST THREE DIGITS ARE: 008
8. In the figure below, the velocity of the boats shown are = 37 m/s and v= 56 m/s. Answer the following questions. a. What is the velocity of Car A in = v,i + v,j format? Show your work. Velocity in inv=v₂i+vyj format Velocity in inv=vxî + vyj format Units b. What is the velocity of Car B in v = vxî + vyĵ format? Show your work. Velocity in inv=vxl+vyj format Units 30° P Units A = 37 m/s 45° c. What is the velocity of Car B with respect to Car A in v = vî + vyĴ format? Show your work. ** = 56 m/s
The velocity of the fluid flowing in a pipe with a radius of 10 cm was measured at certain points and the following table values were obtained. r=the distance of the measurement points to the center of the pipe (m) v=measured speeds (m/s) Accordingly, calculate the velocity value for r = 0.07 m by using 3rd order interpolation with the help of appropriate points that make the error minimum. In calculations, take 4 digits after the comma.
. I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.
Q1/The figure below shows such an LSPB trajectory, where the maximum velocity V = 60 deg/sec. In this case, the times are given as t = 5 sec and t-30 sec. In addition, the joint angles in beginning and the ending q-20 deg and q;= 70 deg, respectively. For these required data, determine the following: 1- The position function and its profile. 2- The velocity function and its profile. 3- The acceleration function and its profile. 4- The function of jerk variable and what is the nature of jerk? 5- The position, velocity, and acceleration at tm=13 sec. 9A ty te 9 9. 9 0 t₁
EXERCISE 1.8 Polar coordinates in the xy plane are defined by the radial distance R and the polar angle measured from the x axis. The corresponding representation of position is FP/O = Rcose T + Rsino J. Suppose that R=p+ & sin (at) and 0 = af/2. Determine the velocity of point P, then evaluate the components of this velocity parallel and perpendicular to FP/O.
The acceleration of A is 1.8 m/s downward and the acceleration of Cis 2.4 m/s² upward. Find the acceleration of B. The acceleration of B is positive if downward, negative if upward. C B A Part 1 Write an expression for the length of the rope. B A Answer: L= SA+ Sg+ sc+ constants
Q: for the following equation, what are the units of x., u, and a if X, is the distance in m. t, is the time in second? [X. x3 = + u?t +