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The torque acting on a body, rotating with angular acceleration of ‘α’ is given by which of the following relation?
  • a)
    T = Iα
  • b)
    T = Iα2
  • c)
    T = I2 α
  • d)
    T = I2 α2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The torque acting on a body, rotating with angular acceleration of &ls...
Ft=mat=mrα
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Most Upvoted Answer
The torque acting on a body, rotating with angular acceleration of &ls...
Explanation:

Torque and Angular Acceleration:
- Torque is the rotational equivalent of force and is defined as the tendency of a force to rotate an object about an axis.
- Angular acceleration (α) is the rate of change of angular velocity with respect to time.

Relation between Torque and Angular Acceleration:
- The torque acting on a body rotating with angular acceleration is directly proportional to the moment of inertia (I) of the body and the angular acceleration (α) itself.
- Mathematically, the relation is represented as T = Iα, where T is the torque, I is the moment of inertia, and α is the angular acceleration.

Explanation of the Correct Answer:
- Option 'A' (T = Iα) is the correct relation between torque and angular acceleration.
- This relation signifies that the torque acting on a body is directly proportional to the product of the moment of inertia and the angular acceleration.
- It is important to understand this relation in order to analyze the rotational motion of objects and calculate the torques involved.
Therefore, the correct relation between torque and angular acceleration is T = Iα, as stated in option 'A'. Understanding this relation is essential in the field of mechanical engineering when dealing with rotational dynamics and motion.
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