Answered: A tracking radar lies in the vertical… | bartleby

A tracking radar lies in the vertical plane of the path of a rocket which is coasting in unpowered flight above the atmosphere. For the instant when e=30°, the tracking data gives r=25x104 ft, velocity = 4000 ft/second, and angular velocity = 0.80 degrees/sec. %3D The acceleration of the rocket for its particular altitude is 31.4 ft/second? vertically down. For these conditons determine a) The velocity "v" of the rocket b) The acceleration "a" of the rocket c) The angular acceleration of the rocket

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A tracking radar lies in the vertical plane of the path of a rocket which
is coasting in unpowered flight above the atmosphere. For the instant
when e=30°, the tracking data gives r=25x104 ft, velocity = 4000
ft/second, and angular velocity = 0.80 degrees/sec.
The acceleration of the rocket for its particular altitude is 31.4
ft/second? vertically down. For these conditons determine
a) The velocity "v" of the rocket
b) The acceleration "a" of the rocket
c) The angular acceleration of the rocket

Expert Solution

Given:

To find the angular acceleration, the following standard results are used,

$a_{r} = \ddot{r} - r {\dot{Θ}}^{2} a_{Θ} = r \ddot{Θ} + 2 \dot{r} \dot{Θ}$

Given that the values observed by the radar is,

$r = 25 \times 10^{4} f t v = 4000 f t / s ω = \dot{Θ} = 0.80 ° / s Θ = 30 °$

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