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Questions and Answers
What is the SI unit for angular displacement?
What is the SI unit for angular displacement?
- Radians (correct)
- Circumferences
- Degrees
- Revolutions
Positive angular displacement represents clockwise motion.
Positive angular displacement represents clockwise motion.
False (B)
What is the formula for calculating angular velocity?
What is the formula for calculating angular velocity?
ω = Δθ/Δt
In one complete rotation, there are ______ degrees.
In one complete rotation, there are ______ degrees.
Match the following angular motion terms with their definitions:
Match the following angular motion terms with their definitions:
What is the unit of angular acceleration in the SI system?
What is the unit of angular acceleration in the SI system?
Angular acceleration is considered positive when angular velocity decreases.
Angular acceleration is considered positive when angular velocity decreases.
Define instantaneous angular acceleration.
Define instantaneous angular acceleration.
The average angular acceleration can be calculated using the formula ωavg = (ωf - ωi) / ______.
The average angular acceleration can be calculated using the formula ωavg = (ωf - ωi) / ______.
Match the following terms with their definitions:
Match the following terms with their definitions:
What defines the angular position θ of a rotating object?
What defines the angular position θ of a rotating object?
In rotational motion, every point in a rotating rigid object does not move in a circle.
In rotational motion, every point in a rotating rigid object does not move in a circle.
What is angular displacement?
What is angular displacement?
The formula for calculating angular position is θ = _____ / r.
The formula for calculating angular position is θ = _____ / r.
Match the following terms with their definitions:
Match the following terms with their definitions:
Which of the following scenarios describes rotational kinematics?
Which of the following scenarios describes rotational kinematics?
The axis of rotation can be any line or point that serves as a pivot for the rotating object.
The axis of rotation can be any line or point that serves as a pivot for the rotating object.
What remains fixed during the rotational motion of rigid objects?
What remains fixed during the rotational motion of rigid objects?
Flashcards
Angular Acceleration
Angular Acceleration
The rate at which angular velocity changes over time.
Angular Acceleration Formula
Angular Acceleration Formula
α = Δω / Δt
Angular Acceleration Units
Angular Acceleration Units
Rad/s² (radians per second squared)
Positive Angular Acceleration
Positive Angular Acceleration
Angular velocity is increasing.
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Negative Angular Acceleration
Negative Angular Acceleration
Angular velocity is decreasing.
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Average Angular Acceleration Formula
Average Angular Acceleration Formula
ωavg = (ωf - ωi) / t
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Instantaneous Angular Acceleration
Instantaneous Angular Acceleration
The angular acceleration at a specific point in time.
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Instantaneous Angular Velocity Formula
Instantaneous Angular Velocity Formula
ωinst = limΔt→0 (Δθ / Δt)
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Rotational Motion
Rotational Motion
The turning or spinning motion of an object around a fixed axis.
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Angular Displacement
Angular Displacement
The angle through which an object rotates, measured in radians.
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Angular Displacement Formula
Angular Displacement Formula
Δθ = θf - θi, where θf is the final angle and θi is the initial angle.
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Angular Position (θ)
Angular Position (θ)
The angle a rotating object's position vector makes with a reference direction.
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Angular Displacement Direction
Angular Displacement Direction
Positive for counter-clockwise rotation, negative for clockwise.
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Angular Displacement (Δθ)
Angular Displacement (Δθ)
The change in angular position of a rotating object.
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Angular Velocity
Angular Velocity
The rate of change of angular displacement.
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Axis of Rotation
Axis of Rotation
The fixed line or point around which an object rotates.
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Angular Velocity Formula
Angular Velocity Formula
ω = Δθ/Δt
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Rotational Kinematics
Rotational Kinematics
The study of rotational motion without considering the forces causing it.
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Angular Velocity Units
Angular Velocity Units
Measured in radians per second (rad/s)
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Rigid object
Rigid object
Objects that do not deform as they rotate.
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Position vector (r)
Position vector (r)
A vector that points from the axis of rotation to a point on the rotating object.
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Angular Velocity Direction
Angular Velocity Direction
Same direction as angular displacement using the right-hand rule.
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Angular Velocity
- Instantaneous average velocity is the ratio between the small angular displacement Δθ and the small time interval Δt, approaching zero, is called instantaneous angular velocity.
- ω = Δθ/Δt
- SI units of angular velocity are rad/s.
- Other units are deg/s or rev/s or rev/min (rpm).
Angular Acceleration
- The time rate of change of angular velocity is angular acceleration α.
- α = Δω/Δt
- SI units of angular acceleration are rad/s².
- Other units are deg/s² or rev/s².
- Angular acceleration is positive when angular velocity increases, negative when angular velocity decreases; and the direction is determined by the right-hand rule.
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