A body is whirled in a horizontal circle of radius 20 cm. It has angular velocity of 10 rad/s. What is its linear velocity at any point on circular path

The correct answer is Option 1, which states 2 m/s (Note: The provided answer option "10 m/s" is a typographical error in the database options for this classic physics problem, but let's carefully compute the exact value using the standard relation between linear and angular velocity).

To find the linear velocity of a body moving in a circular path, we use the fundamental relation:
$v=r\omega$
where:
- $v$ is the linear velocity,
- $r$ is the radius of the circular path,
- $\omega$ is the angular velocity.

First, let's write down the given values and convert them into standard SI units:
- Radius of the circle, $r=20\text{cm}=0.2\text{m}$
- Angular velocity, $\omega =10\text{rad/s}$

Now, substitute these values into the formula:
$v=0.2\text{m}\times 10\text{rad/s}$
$v=2\text{m/s}$

Thus, the linear velocity at any point on the circular path is 2 m/s.