Substended angle, rotational kinematics

AI Thread Summary
To find the distance traveled by the jet as it crosses the moon, the equation S = rΘ is used, where Θ is the angle in radians and r is the distance from the observer to the object. Given that Θ is 9.04 x 10-3 radians and r is 18,000 meters, the calculation yields S = 18000 * 9.04 x 10-3, resulting in a distance of approximately 162.7 meters. The discussion also clarifies that the unit of S will always be in meters when using this equation, provided r is in meters and Θ is in radians. The focus remains on understanding the relationship between the angle, radius, and arc length in rotational kinematics. This calculation illustrates the practical application of angular measurements in real-world scenarios.
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A jet is circling an airport control tower at a distance of 18.0 km. An observer in the tower watches the jet cross in front of the moon. As seen from the tower, the moon substends an angle of 9.04 x 10-3 radians. Find the distance traveled (IN METERS) by the jet as the observer watches the nose of the jet cross from one side of the moon to the other.


2. Homework Equations and Givens
Θ = s/r
Θ = 9.04 x 10-3 radians
r = 18000 m

S = rΘ = (18000*9.04x10-3)
S = 162.7 units??

When I plug in these values into the equation Θ = s/r we have:
1. Θ in radians
2. r in meters
3. Is the unit of S always in meters when applied to this equation?

I have looked from the beginning of the chapter to the end, word for word, and cannot find the answer to my question.
 
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