# Kinematics of uniform circular motion

Physics> Kinematics of Uniform Circular Motion

Uniform circular motion (RCM) – movement along a circular path with a stable speed.

## Learning challenge

• Combine centripetal force and centripetal acceleration with RKD.

## Key points

• With RCD, angular and linear values ​​have a simple relationship. The arc length is proportional to the angle of rotation and the radius. Moreover, v = rω.
• The acceleration responsible for the RVC is referred to as centripetal acceleration. Expressed in the formula ac = rω2 =.
• Any pure force that creates circular motion is called centripetal. Its direction is located in the center of curvature, and the value is equal to m () = mrω2

## Term

• Centripetal – upward.

## Angular values

With uniform circular motion, angular and linear quantities are endowed with simple relationships. When objects rotate around some axis, each point of the object follows an arc of a circle. The angle of rotation displays the amount of rotation and is similar to a linear distance. The angle of rotation Δθ can be determined as the ratio of the arc length to the radius of curvature: The radius of the circle rotates around the angle Δθ. The arc length Δs is described along a circle

From the relation s (Δs = rΔθ) we see: If we consider the motion in a circular orbit, we will notice that the angular velocity remains stable. Acceleration is written as: This acceleration is called centripetal.

## Centripetal force

Any force or their combination can lead to centripetal or radial acceleration. These will be the rope tension, the Earth s gravity for the Moon, the friction between skates and ice, etc.

Any pure force that leads to an RVC is called a centripetal force. Its direction is located in the center of curvature, as in centripetal acceleration. Newton s second law says that pure force is mass acceleration. For uniform circular motion, acceleration is centripetal – a = ac… Therefore, the magnitude of the centripetal force is equal to: ### Physics Section

An introduction to uniform circular motion and gravity
• Kinematics of uniform circular motion
• The dynamics of a uniform circular motion
• Carrying out curves on a curved highway
Irregular circular motion
• Irregular circular motion
Speed, acceleration and strength
• Rotational angle and angular velocity
• Centripetal acceleration
• Centripetal force
Types of forces in nature
• Tides
• Coriolis force
• Other geophysical applications
Newton s law of universal gravity
• The law of universal gravitation
• Gravitational attraction of spherical bodies: homogeneous sphere
• Earth weight
Kepler s laws
• Kepler s first law
• Kepler s second law
• Kepler s third law
• Orbital maneuvers
• Satellites
Gravitational potential energy
• Determination of gravitational potential energy
Energy saving
• Escape speed
Angular and linear quantities
• Angular and linear quantities