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


  • 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

Recommended Articles

Leave a Reply

Your email address will not be published.