Correct Answer  Option 1 : 3.14 cm/s
The correct answer is option 1) i.e. 3.14 cm/s
CONCEPT:

Angular velocity is the velocity associated with objects moving in a curved path.
 While on a curved path, the displacement is the change in angle about the point of rotation or curved motion.
 Angular velocity, \(ω =\frac{angle}{time} =\frac{dθ}{dt}\)
 The tangent to any point on the curved path gives the direction of the linear velocity of the object at that point.
 The angular velocity ω is related to the linear velocity of an object v by the equation
⇒ v = rω
Where r is the radius of the curvature.
 The angular velocity is also given by ω = 2πf
Where f is the frequency.
 Frequency is the number of repetition of an event per unit time. It is given by
\(⇒ f = \frac{1}{T}\)
Where T is the time taken.
CALCULATION:
Given that:
Radius, r = 10 cm
\(⇒ f = \frac{1}{T} = \frac{5}{100} = 0.05 \:Hz\)
⇒ ω = 2πf = 2π × 0.05 = 0.314 rad/s
v = rω = 10 × 0.314 = 3.14 cm/s