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A displacement vector is given: r=(2.3m) i hat +(5.4m/s^2) t^2 j hat- (3.0m/s^3) t^3 z hat a. Find the displacement from t=0 s to t=3.0 s. b. Find the velocity vector. c. Find the average velocity from t = 0 s to t = 3.0 s. d. Find the acceleration vector.
what will be the velocity of flow at point B 1.assuming flow separation 2. assuming without any flow separation diameter of the pipe 100mm diameter of the tank 10000mm ん 2h ん 2h
2. The velocity potential for a spiral vortex flow is given by φ-2nInr-2-9, where A (positive) is the sink strength and Γ is the vortex strength (1) Find the expression of stream function. (2) The plot of stream function is shown in the following figure. Prove the angle,a, between the 2Tt velocity vector and the radial direction is constant throughout the flow field. (FYI, this spiral is called Logarithmic spiral.) .y
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(1) (1 point) Write the vector form of velocity a function of v0, θ, t for when the projectile is in flight (before it hits the ground). (2) (1 point) Write the down horizontal and vertical displacements as a function of t, v0, θ. (3) (1 point) Give the expression for time of flight as a function of v0, θ, φ. (Hint: use previous results and tan(φ) = y/x) (4) (1 point) Give the expression for distance travelled along the...
Given the following: B vector = B_0 alpha [(yzt omega)i^hat (xz omega t) j^hat + (y^2 t omega)k^hat], determine the electric field. Here B_0, and alpha are constants with proper units.
For one interpretation of curl, consider the vector velocity of any point P of a rigid body in motion. Let Vo be the velocity of a point O of the body, o the angular velocity of the body with respect to point O, and F the vector from O to P. Find the curl of the vector at point P, that is of the vector V,-, +or·Give an interpretation of your result. 1.
(2) Velocity Vectors Consider the curve given by the position vector: r(t) =< 3cos(t), 5sin(t), 4cos(t) > (2a) Find the velocity vector for this trajectory. (2b) Find the speed for a particle moving along this trajectory. (20) At what point (a,b,c) does the position vector pass through the xy-plane?
Find the moment at point O, in cartesian vector form, due to T applied at point B. Resolve the moment about the X,Y and Z axes. 2 Coordinates (ft) A2 25 B 310 -2 T = 200 lbs