Angular velocity is a vector that indicates the speed of rotation of an object about an axis. The direction of this vector is normal to the plane of rotation and is determined by the right-hand rule. It is measured as a ratio between the change of an angle through which this object traveled, called angular displacement, and time. The SI unit for angular velocity is radians per second.
Angular Velocity in SportsAngular velocity is a useful concept in sports.
For example, knowing and being able to control angular as well as the linear velocity of a golf club, a bat, or a racket during the swing may help the athlete with improving their performance. A relationship between angular and linear velocity is such that for an elongated object such as a golf club the point furthest from the rotational axis has the fastest linear velocity, even though the angular velocity is the same at any point along the club. Thus, using a longer club, bat, or racket the athlete can propel the ball with a greater linear velocity, allowing it to travel a longer distance before it falls. Conversely, using a shorter racket or holding it up the grip in a way that shortens it allows the athlete to reduce the linear velocity.
Angular Velocity in Optical Storage
The disks in hard disk drives are spun at speeds varying from 4,200 rpm in energy-efficient portable devices, to 15,000 rpm for high-performance serversAngular velocity is used in data storage on optical media such as CDs. Both angular and linear velocities are used to measure the writing speed of discs and the speed of the disc drives. Different velocity is important in different recording modes, and the names of these modes often refer to velocity. For example, Constant Linear Velocity (CVL) method was the original recording mode. In this mode, data is written at a uniform rate through the entire disc. Zone Constant Linear Velocity (ZCLV) maintains a constant linear velocity in a given zone of the disc, not throughout the entire disc. The disc usually spins slower while recording on its outer areas. Partial Constant Angular Velocity (PCAV) is a recording method of gradually increasing the angular velocity until a certain threshold is reached. It then remains constant for the rest of the recording. Finally, Constant Angular Velocity (CAV) is a recording mode that maintains the angular velocity constant during the recording. This means that the linear velocity increases as the writing head moves to the outer areas of the disc. This method is also used in hard drives and gramophone records.
Angular Velocity in SpaceGeostationary orbitThere is an orbit located 35,786 kilometers (22,236 miles) away from the Earth; an object following this orbit in the same direction as the rotation of the Earth completes it in approximately the same amount of time that it takes the Earth to rotate about its axis — one sidereal day, which is a little bit less than 24 hours. Thus, the angular velocity of the objects on this orbit is equal to the angular velocity of the Earth. Because of that, these objects look stationary to a viewer on Earth. This orbit is called a geostationary orbit.It is used for satellites that monitor changes in the Earth’s weather and climate (weather satellites), changes in the oceans (Geostationary Ocean Color Imagers or GOCIs), and communication satellites, used for broadcasting and communication.
Communication satellites can stay on lower or higher orbits as well. Geostationary orbits are often used because the antennas pointed at a satellite on this orbit would not have to be re-pointed. However, if the transmitter’s direct line of sight is blocked, the signal will not be transmitted well, if at all. Geostationary orbit is far, and as a result, it causes a delay of about 0.25 seconds. Stronger transmitters are needed to address the issue of distance as well. Historically communication satellites were used for long-distance telephone communications. They have been replaced in large part by marine cross-continental cables laid over the ocean floor, but are still used in this capacity for remote areas. In the past 20 years, communication satellites have also been used to provide internet connectivity in remote locations.Satellite dishesSatellites have a set amount of fuel, and once they use all of it, they cannot be used anymore. They are generally taken to a different orbit, called a disposal or a graveyard orbit, which is much higher than the geostationary one. Because of this most countries have regulations that require private satellite owners to sign an agreement that they will move the satellite to the disposal orbit once it is near the end of its life cycle.