Rotational Motion

Rotational Motion Principles

Articles
Title
A propeller, initially at rest, rotates about its midpoint with an angular acceleration of 12 radians/sec^2. How much time will it take to rotate through a 90.0° angle?
A baton of length L rotates with a constant angular velocity, w, measured in radians per second. What is the period of the batons rotation?
The hour hand in a clock makes two revolutions in twenty-four hours while the minute hand makes one revolution each hour. What are the angular velocities (in radians per second) of the hour hand and minute hand, respectively?
A car tire is initially spinning with an angular speed of 150 radians per second. As the brakes are applied, the tire slows down at a rate of 25 rad/s^2. How much time does it take the car to stop?
Starting from rest, a spinning disk accelerates constantly to a final rotational speed, w, in a period of time, t. What expression best represents the revolutions the disk has turned through?
A disk, initially rotating at 11 rad/s, slows down at a constant rate of1.5 rad/s^2. What is the angular displacement of the disk in 6.0 s of time?
An object is rotating at a constant angular velocity of 0.50 radians per second. What angle (in degrees) does the object rotate through in 12 s?
A small piece of space junk has a mass of 3 kg and is orbiting the Earth every 90.0 min at an altitude of 300.0 km. The Earths radius is 6.38 X 10^6 m. What is the junks orbital velocity?
The Moon orbits the Earth once every 27.3 days with an orbital radius of 385000 km. What is the orbital speed of the Moon?