Answer:
angular velocity = 12π Radians per second
Step-by-step explanation:
The angular velocity is a measure of the rotation/revolution speed of an object, relative to another point.
In order to present the answer in radians per second, let us first establish the relationship between radians and rotations/revolution.
one complete revolution = 360° = 2π Radians
∴ 1 roration = 2π Radians
12 rotations = 12 × 2π Radians = 24π Radians
Angular velocity in radians = 24π Radians in 2 seconds
Now let us convert to radians per seconds.
24π Radians = 2 seconds
2 seconds = 24π Radians
∴ 1 second = (24π Radians) ÷ 2
1 second = 12π Radians
∴ angular velocity = 12π Radians per second
