Class 11 Exam > Class 11 Questions > On applying a constant torque on a bodya)Line...
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On applying a constant torque on a body
- a)Linear velocity may be increases
- b)Angular velocity may be increases
- c)It will rotate with constant angular velocity
- d)It will move with constant velocity
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
On applying a constant torque on a bodya)Linear velocity may be increa...
If a constant torque is applied it is possible that a positive angular acceleration gets generated which can generate a positive acceleration and hence increasing both velocity and angular velocity.
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On applying a constant torque on a bodya)Linear velocity may be increa...
Applying a constant torque on a body can result in several different outcomes depending on the characteristics of the body and the external forces acting on it. In this case, the correct answer is option 'A', which states that the linear velocity may increase. Let's understand why this is the correct answer by exploring the concept of torque and its effects on the motion of a body.
1. Understanding torque:
Torque is the rotational equivalent of force. It is the measure of the force's ability to cause an object to rotate about an axis. Mathematically, torque is defined as the product of the force applied and the perpendicular distance from the axis of rotation to the line of action of the force.
2. Effects of torque on rotational motion:
When a torque is applied to a body, it tends to change the body's rotational motion. The effect of torque on the body depends on its moment of inertia, which is a measure of the body's resistance to changes in its rotational motion. The moment of inertia depends on the mass distribution of the body and its shape.
3. Linear velocity and angular velocity:
Linear velocity refers to the rate at which an object changes its position in a straight line, while angular velocity refers to the rate at which an object rotates about an axis. These velocities are related to each other by the radius of rotation.
4. Constant torque and linear velocity:
When a constant torque is applied to a body, it causes an angular acceleration, which leads to changes in the body's angular velocity. However, this torque does not directly affect the body's linear motion. The change in linear velocity depends on the radius of rotation and the body's moment of inertia.
5. Increasing linear velocity:
If the body has a non-zero moment of inertia and a constant torque is applied, it can result in an increase in linear velocity. This occurs when the torque causes the body to rotate about an axis, which in turn leads to a change in the radius of rotation. As the radius of rotation decreases, the linear velocity increases.
Therefore, when a constant torque is applied to a body, the linear velocity may increase as a result of changes in the body's rotational motion. This explains why option 'A', stating that the linear velocity may increase, is the correct answer.
1. Understanding torque:
Torque is the rotational equivalent of force. It is the measure of the force's ability to cause an object to rotate about an axis. Mathematically, torque is defined as the product of the force applied and the perpendicular distance from the axis of rotation to the line of action of the force.
2. Effects of torque on rotational motion:
When a torque is applied to a body, it tends to change the body's rotational motion. The effect of torque on the body depends on its moment of inertia, which is a measure of the body's resistance to changes in its rotational motion. The moment of inertia depends on the mass distribution of the body and its shape.
3. Linear velocity and angular velocity:
Linear velocity refers to the rate at which an object changes its position in a straight line, while angular velocity refers to the rate at which an object rotates about an axis. These velocities are related to each other by the radius of rotation.
4. Constant torque and linear velocity:
When a constant torque is applied to a body, it causes an angular acceleration, which leads to changes in the body's angular velocity. However, this torque does not directly affect the body's linear motion. The change in linear velocity depends on the radius of rotation and the body's moment of inertia.
5. Increasing linear velocity:
If the body has a non-zero moment of inertia and a constant torque is applied, it can result in an increase in linear velocity. This occurs when the torque causes the body to rotate about an axis, which in turn leads to a change in the radius of rotation. As the radius of rotation decreases, the linear velocity increases.
Therefore, when a constant torque is applied to a body, the linear velocity may increase as a result of changes in the body's rotational motion. This explains why option 'A', stating that the linear velocity may increase, is the correct answer.
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On applying a constant torque on a bodya)Linear velocity may be increasesb)Angular velocity may be increasesc)It will rotate with constant angular velocityd)It will move with constant velocityCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about On applying a constant torque on a bodya)Linear velocity may be increasesb)Angular velocity may be increasesc)It will rotate with constant angular velocityd)It will move with constant velocityCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On applying a constant torque on a bodya)Linear velocity may be increasesb)Angular velocity may be increasesc)It will rotate with constant angular velocityd)It will move with constant velocityCorrect answer is option 'A'. Can you explain this answer?.
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