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CivilAdvanced Survey
PrevNext

When telescope and vertical circle are rotating with horizontal axis on which plane?

A

Horizontal plane

B

Vertical plane

C

Inclined plane

D

Both A and B

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilAdvanced Survey
Option B

Vertical plane

Quick Summary:

In a theodolite, the telescope and the vertical circle are rigidly fixed to the trunnion axis (horizontal axis) ┬╖ As the telescope rotates about this horizontal axis to measure vertical angles, the rotation occurs within a plane perpendicular to the trunnion axis, which is defined as the vertical plane.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a theodolite, the telescope and the vertical circle are rigidly fixed to the trunnion axis (horizontal axis) ┬╖ As the telescope rotates about this horizontal axis to measure vertical angles, the rotation occurs within a plane perpendicular to the trunnion axis, which is defined as the vertical plane.

ЁЯФв Key Formulas

V=DtanтБб(╬▒)V = D \tan(\alpha)V=Dtan(╬▒) тАФ where VVV is vertical height, DDD is horizontal distance, and ╬▒\alpha╬▒ is the vertical angle measured via rotation in the vertical plane.

тЪЩя╕П Working Principle

The horizontal axis (trunnion axis) serves as the axis of rotation for the telescope in the vertical plane ┬╖ By rotating the telescope around this fixed horizontal pivot, the line of sight moves along a vertical arc, allowing for the measurement of zenith or elevation angles relative to the gravity vector (or horizontal datum).

ЁЯУМ Key Points
  • тЦ╕

    The horizontal axis is perpendicular to the vertical axis of the theodolite.

  • тЦ╕

    Rotation about the horizontal axis is essential for measuring vertical angles (elevation/depression).

  • тЦ╕

    The vertical circle is attached to the telescope and rotates with it.

  • тЦ╕

    The plane of the vertical circle remains parallel to the line of sight during rotation.

тЬЕ Advantages
  • тЦ╕

    Allows precise measurement of elevation angles.

  • тЦ╕

    Facilitates leveling and slope distance correction.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires proper temporary adjustments (leveling) to ensure the vertical plane is truly vertical.

  • тЦ╕

    Sensitive to index error in the vertical circle.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Tacheometry

  • тЦ╕

    Trigonometric leveling

  • тЦ╕

    Setting out grades in construction

ЁЯУД Additional Information
  • тЦ╕

    The horizontal axis is also known as the trunnion axis.

  • тЦ╕

    The vertical axis is the axis about which the theodolite rotates in the horizontal plane (azimuth measurement).

ЁЯУК Diagram / Illustration
Theodolite Rotation GeometryHorizontal AxisRotation in Vertical Plane
тЬЕ

B is correct тАФ The telescope and vertical circle rotate about the horizontal axis within a vertical plane to measure vertical angles.

Core Concepts Used
Click any tag to open in AI Tutor
Theodolite Anatomy Vertical Angle Measurement Axis of Rotation
ЁЯТб EXAM TIP

Always remember: Rotation about the Horizontal axis measures Vertical angles, while rotation about the Vertical axis measures Horizontal angles (Azimuth).

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