Podcast
Questions and Answers
What is angular displacement (Δθ)?
What is angular displacement (Δθ)?
- The product of angular velocity and time
- The total distance moved along the circumference
- The distance rotated divided by the radius
- The angle through which an object rotates from its initial position (correct)
The angular position (θ) can be any arbitrary angle and does not relate to a reference direction.
The angular position (θ) can be any arbitrary angle and does not relate to a reference direction.
False (B)
What is the formula to calculate angular position (θ)?
What is the formula to calculate angular position (θ)?
θ = s/r
In one revolution, there are _____ radians.
In one revolution, there are _____ radians.
Match the following angular measures with their descriptions:
Match the following angular measures with their descriptions:
Flashcards
Angular Position (θ)
Angular Position (θ)
The angle an object rotates relative to a fixed reference line. It's calculated by dividing the distance rotated by the radius of the circular path.
Angular Displacement (Δθ)
Angular Displacement (Δθ)
The change in angular position. It's the difference between the final and initial angular positions.
Radians
Radians
The standard unit for measuring angles, where one radian is the angle subtended at the center of a circle by an arc equal in length to the radius.
Distance Rotated (s)
Distance Rotated (s)
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Radius (r)
Radius (r)
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Study Notes
Rotational Kinematics
- Rotational motion is the turning or spinning motion of an object
- For rotational motion of rigid objects, the particles forming it stay in fixed positions relative to a line about which the rotation takes place. This line is called the axis of rotation.
- The axis of rotation may be a pivot, hinges, or any other support
- During rotational motion, while the other points of the body move in circles about it.
- The axis of rotation may be a pivot, hinges or any other support.
Angular Position
- The angle through which an object is rotated is called angular position θ'
- It is related to the radial line in space, where θ' is the angle between the radial line and the fixed reference line in space. (often chosen as the x-axis)
- θ = s/r, where s is the arc length and r is the radius
- Positive angular displacements represent counter-clockwise motion, and negative displacements represent clockwise motion.
Angular Displacement
- The change in angular position is called angular displacement (Δθ)
- Δθ = θ₂ - θ₁
- The SI unit of angular displacement is radians (rad)
- Other units include degrees and revolutions.
SI units of angular displacement
- 1 revolution = 360°
- 1 revolution = 2π rad.
- 1 rad = 360°/2π = 57.3°
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