A security camera is centered 52 feet above a 100-foot hallway (see figure). It is easlest to design the camera with a constant angular rate of rotation, but this results in a varlable rate at which the Images of the survellance area are recorded. So, It is desirable to design a system with a varlable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the variable rate of rotation if|dx/dt| = 4feet per second. de dt

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter16: Table Of Decimal Equivalents And Combined Operations Of Decimal Fractions
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A security camera is centered 52 feet above a 100-foot hallway (see figure). It is easlest to design the camera with a constant angular
rate of rotation, but this results In a varlable rate at which the Images of the survellance area are recorded. So, It is desirable to design
a system with a varlable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the
varlable rate of rotation if|dx/dt| = 4feet per second.
de
dt
t(ó. y).
100
ft
Transcribed Image Text:A security camera is centered 52 feet above a 100-foot hallway (see figure). It is easlest to design the camera with a constant angular rate of rotation, but this results In a varlable rate at which the Images of the survellance area are recorded. So, It is desirable to design a system with a varlable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the varlable rate of rotation if|dx/dt| = 4feet per second. de dt t(ó. y). 100 ft
Expert Solution
Step 1

The length of the hallway is 100 foot.

The height of the security camera from the hallway is 52 feet.

Rate of movement is dxdt=4 feet per second, where x is displacement and t is time.

Rate of rotation dθdt is required, where θ is angle of rotation.

.

 

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9781337798310
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Peterson, John.
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Cengage Learning,