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Which of the following statements is false for a particle moving in a circle with a constant angular speed ?
[AIEEE 2004]
- a)The velocity vector is tangent to the circle.
- b)The acceleration vector is tangent to the circle.
- c)The acceleration vector points to the centre of the circle.
- d)The velocity and acceleration vectors are perpendicular to each other.
Correct answer is option 'B'. Can you explain this answer?
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Which of the following statements is false for a particle moving in a ...
In uniform circular motion tangential acceleration is zero only centripetal acceleration work which is directed towards centre.
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Which of the following statements is false for a particle moving in a ...
False Statement: The acceleration vector is tangent to the circle.
Explanation:
In order to understand why this statement is false, let's review some key concepts related to circular motion.
1. Angular Speed:
Angular speed is defined as the rate at which an object rotates around a fixed point. It is usually represented by the symbol ω (omega) and is measured in radians per second (rad/s). In the case of a particle moving in a circle with a constant angular speed, the magnitude of the angular velocity remains constant.
2. Velocity Vector:
The velocity vector of a particle moving in a circle with a constant angular speed is always tangent to the circle. It points in the direction of the motion of the particle and its magnitude is given by the product of the angular speed and the radius of the circle.
3. Acceleration Vector:
The acceleration vector of a particle moving in a circle with a constant angular speed is directed towards the center of the circle. This acceleration is known as centripetal acceleration and its magnitude is given by the square of the angular speed multiplied by the radius of the circle.
4. Relationship between Velocity and Acceleration:
The velocity and acceleration vectors are not always perpendicular to each other in circular motion. In fact, they are usually not perpendicular except in specific cases such as when the particle is at the top or bottom of the circle.
Explanation of False Statement:
According to the given options, the false statement is that the acceleration vector is tangent to the circle. This statement is incorrect because the acceleration vector in circular motion always points towards the center of the circle, not tangent to it. The correct statement is that the velocity vector is tangent to the circle.
To summarize:
- The velocity vector is always tangent to the circle.
- The acceleration vector points towards the center of the circle.
- The velocity and acceleration vectors are not always perpendicular to each other in circular motion.
Therefore, the false statement is option 'B' - The acceleration vector is tangent to the circle.
Explanation:
In order to understand why this statement is false, let's review some key concepts related to circular motion.
1. Angular Speed:
Angular speed is defined as the rate at which an object rotates around a fixed point. It is usually represented by the symbol ω (omega) and is measured in radians per second (rad/s). In the case of a particle moving in a circle with a constant angular speed, the magnitude of the angular velocity remains constant.
2. Velocity Vector:
The velocity vector of a particle moving in a circle with a constant angular speed is always tangent to the circle. It points in the direction of the motion of the particle and its magnitude is given by the product of the angular speed and the radius of the circle.
3. Acceleration Vector:
The acceleration vector of a particle moving in a circle with a constant angular speed is directed towards the center of the circle. This acceleration is known as centripetal acceleration and its magnitude is given by the square of the angular speed multiplied by the radius of the circle.
4. Relationship between Velocity and Acceleration:
The velocity and acceleration vectors are not always perpendicular to each other in circular motion. In fact, they are usually not perpendicular except in specific cases such as when the particle is at the top or bottom of the circle.
Explanation of False Statement:
According to the given options, the false statement is that the acceleration vector is tangent to the circle. This statement is incorrect because the acceleration vector in circular motion always points towards the center of the circle, not tangent to it. The correct statement is that the velocity vector is tangent to the circle.
To summarize:
- The velocity vector is always tangent to the circle.
- The acceleration vector points towards the center of the circle.
- The velocity and acceleration vectors are not always perpendicular to each other in circular motion.
Therefore, the false statement is option 'B' - The acceleration vector is tangent to the circle.
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Which of the following statements is false for a particle moving in a circle with a constant angular speed ?[AIEEE 2004]a)The velocity vector is tangent to the circle.b)The acceleration vector is tangent to the circle.c)The acceleration vector points to the centre of the circle.d)The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer?
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Which of the following statements is false for a particle moving in a circle with a constant angular speed ?[AIEEE 2004]a)The velocity vector is tangent to the circle.b)The acceleration vector is tangent to the circle.c)The acceleration vector points to the centre of the circle.d)The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Which of the following statements is false for a particle moving in a circle with a constant angular speed ?[AIEEE 2004]a)The velocity vector is tangent to the circle.b)The acceleration vector is tangent to the circle.c)The acceleration vector points to the centre of the circle.d)The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is false for a particle moving in a circle with a constant angular speed ?[AIEEE 2004]a)The velocity vector is tangent to the circle.b)The acceleration vector is tangent to the circle.c)The acceleration vector points to the centre of the circle.d)The velocity and acceleration vectors are perpendicular to each other.Correct answer is option 'B'. Can you explain this answer?.
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