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Which of the following affects the angular velocity with its rate of change?
- a)Angular acceleration
- b)Angular Distance
- c)Angular Displacement
- d)Torque
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following affects the angular velocity with its rate of c...
Angular velocity is the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes. Thus the rate of change of angular velocity depends on angular displacement.
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Which of the following affects the angular velocity with its rate of c...
Understanding Angular Velocity and Its Change
Angular velocity is a measure of how quickly an object rotates around an axis. Its rate of change is influenced by several factors, but let's focus on the correct answer, which is angular displacement.
Why Angular Displacement Affects Angular Velocity
- Definition of Angular Displacement: Angular displacement refers to the angle through which an object has rotated about a specific axis in a given time period.
- Connection to Angular Velocity: Angular velocity (ω) is defined as the rate of change of angular displacement (θ) with respect to time. This relationship can be expressed mathematically as:
ω = dθ/dt
- Rate of Change: When the angular displacement changes, it directly influences the angular velocity. A change in the angle indicates that the object is accelerating or decelerating in its rotation, thus altering its angular velocity.
Distinction from Other Options
- Angular Acceleration: While it represents the rate of change of angular velocity, it does not directly affect angular velocity itself; it describes how velocity changes.
- Angular Distance: This refers to the total angle covered during motion but does not account for direction, thus it doesn't directly influence angular velocity.
- Torque: This is the force causing the rotation but is not a measure of velocity or its change.
Conclusion
In summary, angular displacement is crucial because it directly influences the angular velocity by defining how much rotation has occurred over time. Understanding this relationship is key in rotational motion analysis.
Angular velocity is a measure of how quickly an object rotates around an axis. Its rate of change is influenced by several factors, but let's focus on the correct answer, which is angular displacement.
Why Angular Displacement Affects Angular Velocity
- Definition of Angular Displacement: Angular displacement refers to the angle through which an object has rotated about a specific axis in a given time period.
- Connection to Angular Velocity: Angular velocity (ω) is defined as the rate of change of angular displacement (θ) with respect to time. This relationship can be expressed mathematically as:
ω = dθ/dt
- Rate of Change: When the angular displacement changes, it directly influences the angular velocity. A change in the angle indicates that the object is accelerating or decelerating in its rotation, thus altering its angular velocity.
Distinction from Other Options
- Angular Acceleration: While it represents the rate of change of angular velocity, it does not directly affect angular velocity itself; it describes how velocity changes.
- Angular Distance: This refers to the total angle covered during motion but does not account for direction, thus it doesn't directly influence angular velocity.
- Torque: This is the force causing the rotation but is not a measure of velocity or its change.
Conclusion
In summary, angular displacement is crucial because it directly influences the angular velocity by defining how much rotation has occurred over time. Understanding this relationship is key in rotational motion analysis.
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Which of the following affects the angular velocity with its rate of change?a)Angular accelerationb)Angular Distancec)Angular Displacementd)TorqueCorrect answer is option 'C'. Can you explain this answer?
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Which of the following affects the angular velocity with its rate of change?a)Angular accelerationb)Angular Distancec)Angular Displacementd)TorqueCorrect 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 Which of the following affects the angular velocity with its rate of change?a)Angular accelerationb)Angular Distancec)Angular Displacementd)TorqueCorrect 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 Which of the following affects the angular velocity with its rate of change?a)Angular accelerationb)Angular Distancec)Angular Displacementd)TorqueCorrect answer is option 'C'. Can you explain this answer?.
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