Speed of an object moving in cirular path of radius 10 m with angular speed 2 rad/s is

Options

A. 10 m/s
B. 5 m/s
C. 20 m/s
D. 30 m/s

Answer

To find the speed of an object moving in a circular path, we can use the relationship between linear speed (v), angular speed (ω), and radius (r) of the circular path. The formula is given by:

\[ v = \omega \times r \]

### Step-by-Step Solution:

1. **Identify the given values**:
- Radius (r) = 10 m
- Angular speed (ω) = 2 rad/s

2. **Use the formula for linear speed**:
- The formula to calculate the linear speed (v) is:
\[ v = \omega \times r \]

3. **Substitute the values into the formula**:
- Substitute ω = 2 rad/s and r = 10 m into the formula:
\[ v = 2 \, \text{rad/s} \times 10 \, \text{m} \]

4. **Calculate the speed**:
- Perform the multiplication:
\[ v = 20 \, \text{m/s} \]

5. **State the final answer**:
- The speed of the object moving in the circular path is 20 m/s.

### Final Answer:
The speed of the object is **20 m/s**.

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