An object moves in a circular path of radius 0.5m with a speed of 1ms^-1 What is its angular velocity?

sonialyzo1

1 year ago

To find the **angular velocity** (\( \omega \)) of an object moving in a circular path, we can use the relationship between **linear velocity** (\( v \)) and **angular velocity**:

\[
v = r\omega
\]

Where:
- \( v = 1 \text{ m/s} \) (linear speed)
- \( r = 0.5 \text{ m} \) (radius of the circular path)
- \( \omega = ? \) (angular velocity to find)

### **Substitute the values into the formula:**

\[
1 = 0.5 \omega
\]

### **Solve for \( \omega \):**

\[
\omega = \frac{1}{0.5} = 2 \text{ rad/s}
\]

### **Answer: \( 2 \text{ rad/s} \) **