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Questions and Answers
What type of motion is described in the text?
What type of motion is described in the text?
- Rotational motion (correct)
- Linear motion
- Circular motion
- Oscillatory motion
What happens when a rigid body rotates with constant angular acceleration?
What happens when a rigid body rotates with constant angular acceleration?
- The angular velocity decreases continuously
- The angular velocity changes at a constant rate (correct)
- The angular velocity remains constant
- The angular velocity fluctuates irregularly
Which quantity does not change during rotational motion under constant angular acceleration?
Which quantity does not change during rotational motion under constant angular acceleration?
- Angular acceleration (correct)
- Linear velocity
- Angular displacement
- Angular velocity
What is the relationship between angular displacement and angular velocity during constant acceleration?
What is the relationship between angular displacement and angular velocity during constant acceleration?
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If a body is neither speeding up nor slowing down, what type of acceleration does it have?
If a body is neither speeding up nor slowing down, what type of acceleration does it have?
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What is the unit of angular velocity mentioned in the text?
What is the unit of angular velocity mentioned in the text?
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Study Notes
Rotational Motion Under Constant Angular Acceleration
- Rotational motion occurs when an object (rigid body) rotates around a fixed axis, and the distance between any two particles within the body remains constant.
- When an object rotates with a constant angular acceleration, its angular velocity changes at a constant rate, and the motion is called uniform rotational motion under constant angular acceleration.
Characteristics of Rotational Motion
- Angular displacement (Δθ) is the change in angular position of an object.
- Angular velocity (ω) is the rate of change of angular displacement.
- Angular acceleration (α) is the rate of change of angular velocity.
Key Equations
- Grammatic equations for rotational motion with constant angular acceleration:
- No equation provided in the text.
Notes
- The rotation of a car around a curved path, the spinning of a top, and the movement of a fan's blades are examples of rotational motion.
- The motion of a rigid body can be described by its angular displacement, angular velocity, and angular acceleration.
- Angular velocity is measured in radians per second (rad/s).
- One revolution is equal to 2Ï€ radians, and 380 revolutions per minute is equal to 40 radians per second.
- The unit of angular acceleration is radians per second squared (rad/s²).
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