Final answer:
To find the angular velocity of a rod with one end rotating at a given speed, convert the length to meters and use the equation ω = v/r. In this case, the angular velocity is approximately 12,907.8 rad/s.
Step-by-step explanation:
The question asks for the angular velocity of a rod that is rotating about one of its ends. To find the angular velocity (ω), we can use the relationship between linear speed (v) and angular speed, which is given by the equation ω = v/r, where r is the radius of the rotation, or in this case, the length of the rod. Since the rod is 14.1 cm long and the speed of the other end is 1820 m/s, first we need to convert the length into meters, which is 0.141 m, and then apply the formula to find the angular velocity.
ω = v/r = 1820 m/s / 0.141 m
After calculating, we find that the angular velocity of the rod is approximately 12,907.8 rad/s.