Final answer:
The angular speed of the turntable in radians per second is 7.155.
Step-by-step explanation:
To find the angular speed in radians per second, we need to convert the revolutions per minute to radians per second. Since 1 revolution is equal to 2π radians, the angular speed in radians per second is calculated using the formula:
Angular speed (in radians per second) = (Revolutions per minute) × 2π / 60
Substituting the given values, we get:
Angular speed = (68 rev/min) × (2π / 60) = 7.155 radians per second