Circular Motion: Understanding Key Concepts and Uniform Motion
Circular Motion
Circumference
The circle is a continuously curved contour whose points are all equidistant from a central point, called the center of the circle. The constant distance from any point on the circumference is called the radius.
The circle represents the area contained within them, called the circle, the most enigmatic of all, considered perfect by our ancestors. Its directivity is the curve associated with movement, framing, repetition, and heat.
Radius
In classical geometry, the radius of a circle is the locus of points in the plane equidistant from another point called the center. It can also be defined as the segment extending from the center to any point on the circumference. A radius of a sphere is any segment that goes from its center to its surface. By extension, the radius of a circle or sphere is the length of any of their radii. The radius is half the diameter. In science and engineering, the term radius of curvature is often used synonymously with radius.
Diameter
The diameter of a circle is the segment that passes through the center and the ends are points of it. It is the maximum string (segment between two points on the circle) located within a circle, or in a circle. The diameter of a sphere is the segment that passes through the center, has its ends on the surface of this.
Arc
The arc is any curve joining two continuous points. Also called a segment of the circumference, an arc is defined by three points or two endpoints and radius, or by the cord.
Tangent
A tangent is a line that only has one thing in common with a curve, i.e. it touches it at a single point, called the point of contact. The tangent line indicates the slope of the curve at the point of contact.
Central Angle
An angle is the part of a plane between two rays that have the same point of origin. It is usually measured in units such as radians, the sexagesimal degree, or grad.
It can be defined on a flat surface (trigonometry flat) or curved (spherical trigonometry). The dihedral angle is the space between two half-planes whose common origin is a line. A solid angle is covered by an object seen from a given point by measuring its apparent size.
Uniform Circular Motion
Circular Motion
Circular motion is based on an axis and constant radius, so the path is a circle. If, moreover, the speed is constant, it produces uniform circular motion, which is a particular case of circular motion with a fixed radius and constant angular velocity.
Uniform Circular Motion
In physics, uniform circular motion describes the motion of a body through a circular path with constant speed.
Although the object’s speed is constant, its velocity is not: The velocity, a magnitude vector tangent to the trajectory, changes direction at each instant. This fact implies the existence of an acceleration which, although in this case does not change the magnitude of the velocity, it changes its direction.
What is a Radian?
A radian is a unit of measure for angles. A radian is defined as the measure of a central angle whose sides cut an arc equal in length to the radius on the circumference of the circle. Since the length of this arc is equal to a radius of the circle, it is said that the measure of this angle is one radian.
Elements of Uniform Circular Motion
- The Period: The time interval between two equivalent points of a wave or oscillation. It can also be associated with frequency by the ratio:
- Periodic Motion: A periodic motion is the kind of temporal evolution presented by a system whose state is exactly repeated at regular intervals of time. The minimum time T required for the system state to repeat is called a period. If the system state is represented by S, it is satisfied:
- Frequency: A quantity that measures the number of repetitions per unit time of any phenomenon or occurrence. To calculate the frequency of an event. According to the SI (International System), frequency is measured in hertz (Hz), named after Heinrich Rudolf Hertz. One hertz is one event or phenomenon repeated once per second. Thus, two hertz are two events (cycles) per second, etc. This unit was originally called “cycles per second” (cps) and is still in use. Other units to indicate frequency are revolutions per minute (rpm). The pulsations of the heart and musical tempo are measured in ‘beats per minute’ (bpm).
Angular Velocity
Angular velocity is a measure of the speed of rotation. It is defined as the angle turned per unit time and is designated by the Greek letter 
. Its unit in the International System is the radian per second (rad/s).
Although it is defined for the rotational motion of rigid bodies, it is also used in the kinematics of the particle or material point, especially when it moves on a closed path (circular, elliptical, etc.).
Linear Velocity
Linear velocity is what it takes to walk a straight line space. For example, basketball players must have a lot of linear velocity to reach the opposing team’s field and score the basket.
Centripetal Acceleration
Centripetal acceleration (also called normal acceleration) is a quantity related to the change of direction of the velocity of a particle in motion when stepping through a curvilinear path.
When a particle moves in a curvilinear path, but moves with constant speed (e.g. MCU), its velocity changes direction, since it is a vector tangent to the path, and said tangent curve is not constant.