Answer:
the average angular velocity of the pulley is approximately 1.592 radians per second.
Step-by-step explanation:
We must first compute the angular displacement and the time required in order to determine the pulley's average angular velocity. Given that the pulley's radius is 20 cm, its circumference is equal to 2 * π * 20 cm. A linear displacement of 10 m results from raising the bucket to a height of 10 m. Because the rope is wound around the pulley more than once, the angular displacement can be computed by dividing the linear displacement by the pulley's circumference. Next, divide the angular displacement by the total time to find the average angular velocity.
Linear displacement / Circumference Average equals angular displacement. Angular Velocity is calculated as Angular Displacement / Time.
Now let's compute:
Circle Measurement: 2 * π * 20 cm
10 m / (2 * π * 20 cm) is the angular displacement.
On par Angular displacement / 5 s equals angular velocity.
We can now compute the average angular velocity by substituting the values.