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If a rigid body is rotating about an axis with a constant velocity, then
- a)Velocity, Angular velocity of all particles will be same
- b)Velocity, Angular velocity of all particles will be different
- c)Velocity of all particles will be different but angular velocity will be same.
- d)Angular velocity of all particles will be different but velocity will be same.
Correct answer is option 'C'. Can you explain this answer?
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If a rigid body is rotating about an axis with a constant velocity, th...
Explanation:
When a rigid body is rotating about an axis with a constant velocity, all the particles in the rigid body will have a different velocity but the same angular velocity.
Velocity of Particles:
The velocity of particles in a rigid body depends on two factors, namely, the distance of the particle from the axis of rotation and the angular velocity of the rigid body. The particles that are farther away from the axis of rotation will have a greater velocity than particles closer to the axis of rotation. Therefore, the velocity of particles will vary depending on their distance from the axis of rotation.
Angular Velocity:
The angular velocity of a rigid body is the same for all particles in the body. This is because all particles in the rigid body move in circles about the same axis of rotation. The angular velocity of a rigid body is defined as the rate of change of the angle swept out by a line perpendicular to the axis of rotation. Since all particles in the rigid body move in circles about the same axis of rotation, they will all have the same angular velocity.
Conclusion:
Therefore, the correct answer is option 'C', Velocity of all particles will be different but angular velocity will be the same.
When a rigid body is rotating about an axis with a constant velocity, all the particles in the rigid body will have a different velocity but the same angular velocity.
Velocity of Particles:
The velocity of particles in a rigid body depends on two factors, namely, the distance of the particle from the axis of rotation and the angular velocity of the rigid body. The particles that are farther away from the axis of rotation will have a greater velocity than particles closer to the axis of rotation. Therefore, the velocity of particles will vary depending on their distance from the axis of rotation.
Angular Velocity:
The angular velocity of a rigid body is the same for all particles in the body. This is because all particles in the rigid body move in circles about the same axis of rotation. The angular velocity of a rigid body is defined as the rate of change of the angle swept out by a line perpendicular to the axis of rotation. Since all particles in the rigid body move in circles about the same axis of rotation, they will all have the same angular velocity.
Conclusion:
Therefore, the correct answer is option 'C', Velocity of all particles will be different but angular velocity will be the same.
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If a rigid body is rotating about an axis with a constant velocity, thena)Velocity, Angular velocity of all particles will be sameb)Velocity, Angular velocity of all particles will be differentc)Velocity of all particles will be different but angular velocity will be same.d)Angular velocity of all particles will be different but velocity will be same.Correct answer is option 'C'. Can you explain this answer?
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