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

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