A spy, who is surveilling an enemy\'s airfield, is photographing airplanes takin

Question

A spy, who is surveilling an enemy's airfield, is photographing airplanes taking off. (Part A figure) One airplane takes off, banks hard, and circles the spy's location at a constant radius. As the spy tracks the airplane, the camera's telephoto lens rotates about the x, y, and z axes according to the equations

A spy, who is surveilling an enemy's airfield, is photographing airplanes taking off. (Part A figure) One airplane takes off, banks hard, and circles the spy's location at a constant radius. As the spy tracks the airplane, the camera's telephoto lens rotates about the x, y, and z axes according to the equations Theta = -atabn (1100 m - 125 m/s t/ 650 m ) radians and Phi = 7.00 x 10^-2 t radians where t is time measured in seconds from takeoff. What are omega_x, omega_y, and omega_z, the i, j, and k components of omega, the camera's angular velocity at t_1 = 8.80 s, when heta=0.000? Express your answers numerically in radians per second to four significant figures separated by commas.

Explanation / Answer

t=8.80s

_x = d/dt= .07

_y = 0

_z = d/dt = 130/(25t^2-440x+2612) = .19230

.07,0,0.19230

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