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?
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?
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?
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 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?
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?
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?