If OP Makes 4 Revolutions in One Second, the Angular Velocity in Radians per Second is

Question:

If OP makes \(4\) revolutions in one second, the angular velocity in radians per second is

(a) \(\pi\)

(b) \(2\pi\)

(c) \(4\pi\)

(d) \(8\pi\)

Solution

We know that:

\[ 1 \text{ revolution} = 2\pi \text{ radians} \]

Given that OP makes \(4\) revolutions in one second.

Therefore, angular velocity:

\[ \omega = 4 \times 2\pi \]

\[ = 8\pi \text{ radians per second} \]

Hence, the correct option is:

(d) \(8\pi\)