Write SI unit of angular momentum:

Answer

To find the SI unit of angular momentum, we can start with the formula for angular momentum.

### Step-by-Step Solution:

1. **Understand the Definition of Angular Momentum**:
Angular momentum (L) is defined as the product of the moment of inertia and the angular velocity. It can also be expressed as the product of mass (m), velocity (v), and radius (r) from the axis of rotation.
\[ L = m \cdot v \cdot r \]

2. **Identify the SI Units of Each Quantity**:
- The SI unit of mass (m) is **kilogram (kg)**.
- The SI unit of velocity (v) is **meter per second (m/s)**.
- The SI unit of radius (r) is **meter (m)**.

3. **Substitute the SI Units into the Angular Momentum Formula**:
Now, substituting the units into the formula for angular momentum:
\[ L = m \cdot v \cdot r = (kg) \cdot \left(\frac{m}{s}\right) \cdot (m) \]

4. **Combine the Units**:
When we multiply these units together:
\[ L = kg \cdot \frac{m}{s} \cdot m = kg \cdot \frac{m^2}{s} \]

5. **State the Final SI Unit of Angular Momentum**:
Therefore, the SI unit of angular momentum is:
\[ \text{kg} \cdot \text{m}^2/\text{s} \]

### Final Answer:
The SI unit of angular momentum is **kilogram meter squared per second (kg m²/s)**.

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