Final answer:
The average angular velocity of the second hand of a clock is 60 revolutions per hour, and the direction of its angular velocity vector is into the wall when viewed head-on using the right-hand rule.
Step-by-step explanation:
Average Angular Velocity of a Clock's Second Hand
The average angular velocity of the seconds hand of a clock can be found considering that the second hand completes one full revolution (360 degrees or 2π radians) every 60 seconds.
To express this in revolutions per hour, we take into account that there are 60 minutes in an hour, and the second hand completes 60 revolutions (one per minute). Therefore, the average angular velocity is 60 revolutions per hour.
Direction of Angular Velocity
Regarding the direction of the angular velocity vector of the second hand, as you look at the clock mounted on the wall, it rotates clockwise. By using the right-hand rule, we can determine that the angular velocity vector is pointing directly into the wall.