Substended angle, rotational kinematics

In summary, the jet circling at a distance of 18.0 km from an airport control tower was observed by an observer in the tower as it crossed in front of the moon, with the moon subtending an angle of 9.04 x 10-3 radians. Using the equation Θ = s/r, we can find the distance traveled by the jet as the observer watches the nose cross from one side of the moon to the other. Plugging in the given values of r = 18000 m and Θ = 9.04 x 10-3 radians, we get a distance of 162.7 meters.
  • #1
bulbasaur88
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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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  • #2
meters
 

1. What is a substended angle?

A substended angle is an angle formed between two intersecting lines or curves, with the vertex of the angle being at the center of a circle or arc.

2. How is a substended angle measured?

A substended angle is typically measured in degrees or radians, with one complete rotation around the center of the circle or arc being equal to 360 degrees or 2π radians.

3. What is rotational kinematics?

Rotational kinematics is the branch of physics that studies the motion of objects that are rotating or moving in a circular path.

4. How is rotational kinematics different from linear kinematics?

Rotational kinematics deals with the motion of objects around an axis of rotation, while linear kinematics deals with the motion of objects in a straight line.

5. What are some real-world applications of rotational kinematics?

Rotational kinematics is used in various fields such as engineering, robotics, and sports. It is used to analyze the motion of objects such as wheels, gears, and projectiles, and is also important in understanding the movement of the human body in activities like dancing or throwing a ball.

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