The product of moment of inertia (I) and angular acceleration `(alpha)` is called

Options

A. force
B. couple
C. work
D. angular acceleration

Answer

To solve the question, we need to understand the relationship between moment of inertia, angular acceleration, and torque in rotational motion.

### Step-by-Step Solution:

1. **Understand the Terms**:
- Moment of Inertia (I): It is a measure of an object's resistance to changes in its rotation. It depends on the mass distribution of the object relative to the axis of rotation.
- Angular Acceleration (α): It is the rate of change of angular velocity. It indicates how quickly an object is rotating faster or slower.

2. **Identify the Relationship**:
- In rotational dynamics, there is a fundamental equation that relates torque (τ), moment of inertia (I), and angular acceleration (α):
\[ \tau = I \cdot \alpha \]
- Here, τ (torque) is the rotational analog of force in linear motion.

3. **Interpret the Equation**:
- From the equation, we can see that the product of moment of inertia (I) and angular acceleration (α) gives us torque (τ):
\[ I \cdot \alpha = \tau \]

4. **Conclusion**:
- Therefore, the product of moment of inertia (I) and angular acceleration (α) is called **torque**.

### Final Answer:
The product of moment of inertia (I) and angular acceleration (α) is called **torque**.

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