"In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular arc."
Motion along a circular path.
Circular motion basics: Introduction to circular motions, definitions of key terms such as radius, angular displacement, angular velocity, angular acceleration, centripetal acceleration, and centripetal force.
Angular kinematics: In-depth explanation of the relationship between angular displacement, angular velocity, and angular acceleration, including the use of equations and graphical representation.
Uniform circular motion: Definition and explanation of the properties of uniform circular motion, including how to calculate period, frequency, and speed.
Non-uniform circular motion: Definition and explanation of the properties of non-uniform circular motion, including how to calculate tangential and radial acceleration, and how to use the equations of motion.
Centripetal force: Explanation of the nature of centripetal force, the relationship between force and acceleration, and how to calculate force and acceleration in different types of circular motion.
Centrifugal force: Explanation of centrifugal force, its properties, and why it is not a real force but rather an apparent one.
Radians and degrees: Discussion of the difference between radians and degrees, how to convert between them, and why radians are preferred in the study of circular motion.
Vector and scalar quantities: Explanation of the properties of vector and scalar quantities, how to differentiate them in circular motion problems, and how to represent them graphically.
Kepler's laws: Overview of Kepler's laws of planetary motion, their significance, and their applications in the study of circular motion.
Torque and angular momentum: Explanation of torque, angular momentum, and the conservation of angular momentum in the context of circular motion problems.
Gravity and circular motion: Discussion of how gravity affects circular motion, how to calculate gravitational force and acceleration, and how to use those calculations in circular motion problems.
Planetary motion: Detailed overview of planetary motion and its influence on the study of circular motion.
Uniform Circular Motion: A particle moving in a circular path with a constant speed is known as uniform circular motion.
Non-Uniform Circular Motion: A particle moving in a circular path with a changing speed is known as non-uniform circular motion.
Simple Harmonic Motion: When the periodic motion of an oscillating body can be expressed as a sine or cosine function, it is known as simple harmonic motion. If this oscillation is circular, it's known as circular harmonic motion.
Projectile Motion: A type of motion where an object is projected or thrown at an angle and follows a curved path under the influence of gravity.
Orbital Motion: The motion of an object around another object in space. Planets, comets and satellites all move in orbital motion.
Rotational Motion: The motion of an object around an axis or center of rotation. Examples include a spinning top and a rotating wheel.
Geostationary Motion: Satellites in geostationary orbit complete one orbit in the same time that it takes the Earth to make one rotation on its axis. This makes it appear as if the satellite is “stationary” above a fixed point on the Earth.
Brownian Motion: The random motion of particles in a fluid or gas subjected to molecular collisions. It can be regarded as a type of circular motion.
Precession: The movement of the rotation axis of a spinning object around a second axis, caused by a torque applied perpendicular to both axes. The Earth's axis experiences precession due to the gravitational pull of the Sun and Moon.
"It can be uniform, with a constant rate of rotation and constant tangential speed, or non-uniform with a changing rate of rotation."
"The rotation around a fixed axis of a three-dimensional body involves the circular motion of its parts."
"The equations of motion describe the movement of the center of mass of a body, which remains at a constant distance from the axis of rotation."
"In circular motion, the distance between the body and a fixed point on its surface remains the same, i.e., the body is assumed rigid."
"Examples of circular motion include: special satellite orbits around the Earth (circular orbits), a ceiling fan's blades rotating around a hub, a stone that is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, and a gear turning inside a mechanism."
"Since the object's velocity vector is constantly changing direction, the moving object is undergoing acceleration by a centripetal force in the direction of the center of rotation."
"Without this acceleration, the object would move in a straight line, according to Newton's laws of motion."
"Circular motion is when an object moves along the edge of a circle or rotates around a curved path."
"The constant distance between the body and a fixed point on its surface ensures that the body is assumed rigid during circular motion."
"The rotation around a fixed axis of a three-dimensional body involves the circular motion of its parts."
"Special satellite orbits around the Earth exhibit circular motion as they consistently move along the circumference of the orbit."
"A ceiling fan's blades rotating around a hub is an example of circular motion, where the blades move along the circular path."
"A stone tied to a rope and being swung in circles demonstrates circular motion, where the stone moves along a curved path."
"When a car turns through a curve in a race track, circular motion is involved as the car follows a curved path."
"An electron moving perpendicular to a uniform magnetic field experiences circular motion, where its path forms a curve."
"A gear turning inside a mechanism exhibits circular motion as it rotates along a circular path."
"Circular motion involves a constantly changing direction of the object's velocity vector, unlike straight-line motion."
"The equations of motion describe how the center of mass of a body moves at a constant distance from the axis of rotation."
"Without the centripetal force that causes acceleration, the object in circular motion would follow a straight line, as explained by Newton's laws of motion."