ACT Exam > ACT Questions > In which coordinate system do we use distance...
Start Learning for Free
In which coordinate system do we use distance from origin and to angles to define the position of a point in space?
- a)Cartesian
- b)Cylindrical
- c)Spherical
- d)2-D Cartesian
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In which coordinate system do we use distance from origin and to angle...
In Spherical system, distance from the center, the angle with the X axis, and the angle with the Z axis are used to define the position of a point. These are respectively represented by R, θ and ф.
Most Upvoted Answer
In which coordinate system do we use distance from origin and to angle...
Explanation:
Spherical Coordinate System:
- In the spherical coordinate system, we use distance from the origin (radius), angle from the z-axis (polar angle or inclination angle), and angle in the xy-plane (azimuthal angle) to define the position of a point in space.
- The radius is the distance from the origin to the point.
- The polar angle is measured from the positive z-axis.
- The azimuthal angle is measured in the xy-plane from the positive x-axis.
Advantages of Spherical Coordinate System:
- Spherical coordinates are particularly useful when dealing with problems involving symmetry around a point or axis.
- They are also well-suited for problems in physics, such as those involving electromagnetic fields or gravitational forces.
Conversion to Cartesian Coordinates:
- To convert from spherical to Cartesian coordinates, we use the following formulas:
- x = r * sin(θ) * cos(ϕ)
- y = r * sin(θ) * sin(ϕ)
- z = r * cos(θ)
- Where r is the radius, θ is the polar angle, and ϕ is the azimuthal angle.
Applications:
- Spherical coordinates are commonly used in physics, astronomy, and engineering.
- They are particularly useful in problems involving spherical symmetry, such as those encountered in celestial mechanics or fluid dynamics.
By using the spherical coordinate system, we can define the position of a point in space based on its distance from the origin and the angles describing its orientation.
Spherical Coordinate System:
- In the spherical coordinate system, we use distance from the origin (radius), angle from the z-axis (polar angle or inclination angle), and angle in the xy-plane (azimuthal angle) to define the position of a point in space.
- The radius is the distance from the origin to the point.
- The polar angle is measured from the positive z-axis.
- The azimuthal angle is measured in the xy-plane from the positive x-axis.
Advantages of Spherical Coordinate System:
- Spherical coordinates are particularly useful when dealing with problems involving symmetry around a point or axis.
- They are also well-suited for problems in physics, such as those involving electromagnetic fields or gravitational forces.
Conversion to Cartesian Coordinates:
- To convert from spherical to Cartesian coordinates, we use the following formulas:
- x = r * sin(θ) * cos(ϕ)
- y = r * sin(θ) * sin(ϕ)
- z = r * cos(θ)
- Where r is the radius, θ is the polar angle, and ϕ is the azimuthal angle.
Applications:
- Spherical coordinates are commonly used in physics, astronomy, and engineering.
- They are particularly useful in problems involving spherical symmetry, such as those encountered in celestial mechanics or fluid dynamics.
By using the spherical coordinate system, we can define the position of a point in space based on its distance from the origin and the angles describing its orientation.
|
Explore Courses for ACT exam
|
|
Similar ACT Doubts
Top Courses for ACTView all
In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer?
Question Description
In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer?.
In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer?.
Solutions for In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In which coordinate system do we use distance from origin and to angles to define the position of a point in space?a)Cartesianb)Cylindricalc)Sphericald)2-D CartesianCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice ACT tests.
|
|
Explore Courses for ACT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup