A radar system is used to track a new experimental space launch vehicle. Early in the vehicle’s flight trajectory, the azimuth angle β is increasing with the constant rate dβ/dt = 20°/s. The elevation angle γ is increasing at the rate dγ/dt = 40°/s, and this rate is increasing at 5°/s2 . Knowing that the distance between O and P is 2 m and that at this instant β = 0° and γ = 30°, determine (a) the angular velocity of the radar system, (b) the angular acceleration of the system, and (c) the velocity and acceleration of point P.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A radar system is used to track a new experimental space launch vehicle. Early in the vehicle’s flight trajectory, the azimuth angle β is increasing with the constant rate dβ/dt = 20°/s. The elevation angle γ is increasing at the rate dγ/dt = 40°/s, and this rate is increasing at 5°/s2 . Knowing that the distance between O and P is 2 m and that at this instant β = 0° and γ = 30°, determine (a) the angular velocity of the radar system, (b) the angular acceleration of the system, and (c) the velocity and acceleration of point P.

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