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The angular acceleration of a body, moving along the circumference of a circle, is :
  • a)
    along the radius towards the centre
  • b)
    along the tangent to its position
  • c)
    along the axis of rotation
  • d)
    along the radius, away from centre
Correct answer is option 'C'. Can you explain this answer?
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The angular acceleration of a body, moving along the circumference of ...
Along the axis of rotation.
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Angular Acceleration Direction:

Angular acceleration of a body moving along the circumference of a circle is along the axis of rotation. This means that the direction of angular acceleration is perpendicular to both the radius and the tangent to the position of the body.

Explanation:

- Along the Axis of Rotation: The angular acceleration of a body moving along the circumference of a circle is along the axis of rotation because it is the direction in which the body's rotational speed is changing. This acceleration causes the body to increase or decrease its rotational velocity as it moves along the circle.

- Perpendicular to Radius and Tangent: The axis of rotation, along which the angular acceleration acts, is perpendicular to both the radius of the circle and the tangent to the body's position. This perpendicular direction is essential for causing the body to change its rotational speed effectively.

- Effect on Motion: The angular acceleration along the axis of rotation can cause the body to speed up or slow down its rotation, depending on the direction of the acceleration. This change in rotational speed affects the body's position and velocity along the circle.

- Importance in Dynamics: Understanding the direction of angular acceleration is crucial in analyzing the rotational motion of bodies in circular paths. It helps in predicting how the body's rotational speed will change and how external forces may influence its motion.

Therefore, the correct direction of angular acceleration for a body moving along the circumference of a circle is along the axis of rotation, perpendicular to both the radius and the tangent to its position.
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