a An aircraft carrier is transiting out to sea with acceleration ac = -1 m/s² and speed VG = -5 m/s (i.e., both to the left) when its onboard radar detects a UFO. At the instant shown, the radar is pointed at angle 0 = 7/4, has angular velocity = 0.5 rad/s (CCW), and has angular acceleration α = 0.02 rad/s² (CCW). The radar uses a body reference frame that is moving and rotating with the radar: B = {O',b₁,b2, 63} to report measurements. The radar reports the relative position (x, y) = (100, 150) meters in the radar's body frame along with the body-frame velocities (x, y) = (vx, Vy) = (-30, 30) m/s a body-frame acceleration (x, y) = (ax, ay) = (0.1,0.3) m/s² of the UFO. 1. Determine the inertial velocity vector of the UFO expressed in terms of unit vectors of the inertial frame I = {0,11,12,13} located at the base. 2. Determine the inertial acceleration vector in terms of the unit vectors of the radar body frame B.

a An aircraft carrier is transiting out to sea with acceleration ac = -1 m/s² and speed VG = -5 m/s (i.e., both to the left) when its onboard radar detects a UFO. At the instant shown, the radar is pointed at angle 0 = 7/4, has angular velocity = 0.5 rad/s (CCW), and has angular acceleration α = 0.02 rad/s² (CCW). The radar uses a body reference frame that is moving and rotating with the radar: B = {O',b₁,b2, 63} to report measurements. The radar reports the relative position (x, y) = (100, 150) meters in the radar's body frame along with the body-frame velocities (x, y) = (vx, Vy) = (-30, 30) m/s a body-frame acceleration (x, y) = (ax, ay) = (0.1,0.3) m/s² of the UFO. 1. Determine the inertial velocity vector of the UFO expressed in terms of unit vectors of the inertial frame I = {0,11,12,13} located at the base. 2. Determine the inertial acceleration vector in terms of the unit vectors of the radar body frame B.

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

Related questions

Q: Two ships A and B are moving with constant speeds VA = 20 m/s and vg = 14 m/s, respectively, along…

Q: has A disk is shown, to a fixed axis of rotation through its center as. and a cord wraps around it,…

Q: Slider 1 is moving downward at a speed of 1 = 2 m/s and with a downward acceleration of a = 0,25 m/s…

A: Dear StudentsAll the solution given in below steps

Q: The pinball machine paddle, P, pushes the pinball which weighs 0.7 N along the slot shown. This…

Q: A spool with an outer diameter of 8 cm descends by unwrapping an inextensible cable that is wound…

Q: Q1) The angular velocity of the radar gun at point O is è = 0.2 rad/s when 0-40°, and the radius of…

A: The given data: θ˙ = 0.2 rad/sθ = 40°Radius of the road = r = 500 m

Q: m/s/s, respectively. Determine the (a) tangential acceleration of the pin (m/s/s and (b) the normal…

Q: The rod AC can move frictionlessly through the sleeve B. The sleeve C travels frictionlessly along…

Q: T The automobile has a speed of 60 ft/s at point A and an acceleration having a magnitude of a = 10…

Q: I have the same question in my book. But the Rod is 30 kilogram and 1.5M length from A to B and…

Q: 1. At this moment Bar AB has the angular motions shown. Determine the velocity and acceleration of…

A: Given data As per figure AB = 0.5 m BC = 1m WAB = 4 rad / s aAB= 6 rad / s2 given figure

Q: At a given instant the top B of the ladder has an acceleration ag = 2.2 ft/s² and a velocity of ug =…

Q: roblem 1. An object with a mass of 200 kg is attached to a ope wound around a pulley which is…

Q: 3. An object is at the cylindrical coordinate of r=3m, 0 = 30°. The components of acceleration are…

A: Vector Diagram:Acceleration vector in cartesian:From the diagram, we can…

Q: Two ships A and Bare moving with constant speeds va = 25 m/s and vg = 18 m/s, respectively, along…

Q: Q17. A ball is being pushed by a rod in the vertical plane along a curved path with (C · 0) m, where…

A: Solution: Given Data: r=CθC=0.4θ=1.4 radθ.=1.3 rad/sθ..=2.8 rad/s2

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

A: conveyor belt velocity conveyor belt acceleration. angular velocity is angular velocity is the…

Q: disk rotate with angular speed w= 3rad/s, and is increasing with rate 0.6 rad/s. small ball A moves…

A: Give that, Angular velocity of disk, w=3 rad/secRate of increasing of speed=0.6 rad/sec,Speed of…

Q: the member AB is 0.5 m and 2 Kg, respectively. The G represents the center of mass of the slender…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

100%

An aircraft carrier is transiting out to sea with acceleration ag = -1 m/s² and speed VG = -5
m/s (i.e., both to the left) when its onboard radar detects a UFO. At the instant shown, the
radar is pointed at angle = π/4, has angular velocity = 0.5 rad/s (CCW), and has angular
acceleration α = 0.02 rad/s² (CCW). The radar uses a body reference frame that is moving and
rotating with the radar: B = {O', 6₁, 62, 63} to report measurements. The radar reports the
relative position (x, y) = (100, 150) meters in the radar's body frame along with the body-frame
velocities (x, y) = (Vx, Vy) = (-30, 30) m/s a body-frame acceleration (x, y) = (ax, ay) = (0.1,0.3)
m/s² of the UFO.
1. Determine the inertial velocity vector of the UFO expressed in terms of unit vectors of the
inertial frame I = {0, 11, 12, 13} located at the base.
2. Determine the inertial acceleration vector in terms of the unit vectors of the radar body
frame B.
aG
VG
X
RADAR
UFO
Y
j = Ω
Ö
= d
i3
BASE

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given Data

VIEW

Step 2: Determine the inertial velocity vector

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Pravinbhai
I Suppose an autonomous surface vessel (ASV) traveling with velocity TvG/O= vi₁ begins to make a turn by adjusting the thrust of its left and right thrusters, TA and TB, respectively. The center of mass of the ASV is located at G and the ASV is symmetric about its vertical axis. The ASV also experiences a drag force that is proportional to its speed and opposes its velocity. At the instant shown, the drag force is D = -kvi₁ where k is a drag coefficient. 1. To model the mass moment of inertia, approximate the ASV as consisting of three rigid bodies: a flat plate as a center body of mass 6m and two slender rods housing the propulsion assemblies, each of mass m, at the outboard sides of the vehicle. Determine the mass moment of inertia, IG, about the vertical axis passing through the center of mass G. (Hint: Use the parallel axis theorem.) 2. At the instant shown, determine the inertial acceleration vector ac/o = axi₁ + ayi2 of the center of mass and the angular acceleration a of the…
6. A ball is rotating about the origin with a constant radius of 10cm. a. For the values of 0, 0, and O shown on the figure, what are the radial (a,) and theta (a) components of the acceleration of the ball. b. What is the acceleration vector of the ball expressed in rectangular coordinates, in terms of i and j unit vectors? Y r = 10cm 10 = -40° X 0 = 4 rad/s Ö = 6 rad/s²
a rod is attached on the xy plne, which rotates with a constant angular velocity about its y-axis, as shown in image, end A of the rod of length L slides along the x-axis with constant speed vo, while end B slids along the y-axis, find the velocity vector and acceleration vector of the midpoint P of the rod when θ is 60 degree
At the instant shown, wheel A rotates with an angular velocity of w = 12 rad/s and an angular acceleration of a = 12 rad/s² . (Figure 1) Figure 0.2 m B 0.8 m < 1 of 1 30°
The figure shows a rigid link AB of length 2 m which rotates anticlockwise about a fixed point at A at a rate of 2 rad/s, but which is decelerating in its rotation at 1 rad/s². At the instance of time shown in the diagram, with the link AB at 60 degrees to the horizontal, what is the y-component of the absolute acceleration of point B? (The positive sense of the x and y directions are given by the axes in the diagram). O O O O O w = 2 rad/s a = -1 rad/s² 7.93 m/s2 Don't Know -7.93 m/s² 5.93 m/s2 -5.93 m/s² B 60⁰
If the rod AB rotates counterclockwise with angular velocity, ω AB =8rad / s Calculate the velocities of the blocks C and D at the moment shown in the figure below.
A ball with a mass of 55.0 g is thrown as shown. (this is a view from the side) There are only two forces acting on it: gravity and air resistance. The air resistance is in the opposite direction of the velocity and has a magnitude of 0.110 N. Find the acceleration vector of the ball. NOTE 1: Don't forget to draw a free body diagram V = 15.0m S 0 = 30.0°
disk rolling with no slip on horizontal surface. with the instant, angular velocity of disk is w= 3rad/s and acceleration at Point O is ao= 0.6 m/s^2. Find magnitude of velocity as well as acceleration of point A and B of disk.
Consider two sliders connected by a rod of length L₁ + L2 moving within the perpendicular slots below. At the instant shown, the slider denoted by O' is moving downward at a constant speed of VA and the angle 0. The rod simultaneously rotates at a rate of w = 0 and with rotational acceleration a = Ö. An inertial reference frame I = {0,112,13} and a translating and rotating body frame B = {O', 6₁, 62, 63} are defined as shown. 1. Determine the scalar speed of the slider B, VB 2. Determine the magnitude of the inertial acceleration of the tip of the rod, || (ac/o)||. Write the angular acceleration and velocity using the symbols & and w in your answer. 3. Determine the angular acceleration & = Ö in terms of the variables given. b3 b VA iz bi 0 Li UB L2