Answer :
The angular speed of an object completing 6.00 revolutions every 12.0 seconds is π rad/s, calculated by converting revolutions to radians and then dividing by the time in seconds.
The student's question asks for the angular speed of an object executing 6.00 complete revolutions every 12.0 seconds. To solve this, we use the relationship that 1 revolution equals 2π radians. Therefore, 6.00 revolutions correspond to 6.00 x 2π = 12π radians. Next, we divide the total radians by the total time (in seconds) to find the angular speed.
Angular speed (w) = Total angle change (in radians) / Total time (in seconds)
Angular speed (w) = 12π rad / 12.0 s = π rad/s.
This is the object's angular speed in rad/s.
