Final answer:
The angular velocity of a hamster's wheel with a radius of 10 cm that completes one revolution in 9 seconds is approximately 0.698 radians per second.
Step-by-step explanation:
The student asked about the angular velocity of a hamster's wheel. Angular velocity is defined as the rate of change of angular displacement and is usually represented by the symbol ω (omega). Given that the wheel has a radius of 10 cm and completes one revolution in 9 seconds, we can calculate the angular velocity. One complete revolution means the wheel turns through an angle of 2π radians. Therefore, the angular velocity ω is equal to 2π radians divided by the time for one revolution, which is 9 seconds.
Using the formula:
ω = Θ / t
Where ω is the angular velocity, Θ is the angle in radians (which is 2π for one complete revolution), and t is the time in seconds. We can compute the angular velocity:
ω = 2π / 9
Therefore, the angular velocity of the wheel is approximately 0.698 radians per second.