MEX-008 · Kinematics Sample material

Circular motion

Kinematics of circular motion: angle of rotation, angular velocity, period and frequency, linear speed, centripetal and tangential acceleration, angular acceleration; applications to planets and mechanical devices.

Estimated time: 2 h 50 min 3 activities

Learning objective

Master the angular quantities — angle of rotation, angular velocity, angular acceleration, period and frequency.
Derive the relations between linear and angular quantities ($v = \omega R$, $a_n = \omega^2 R$, $a_\tau = \varepsilon R$).
Learn to apply the equations of uniform and uniformly accelerated rotation.
Learn to solve problems on planetary motion and on transmissions (belt and gear drives).

Expected outcomes

Converts between period, frequency, angular and linear speeds.
Calculates the centripetal and total acceleration of a point moving in a circle.
Finds the number of revolutions and the angular acceleration in uniformly accelerated rotation.
Determines the ratio of rotation rates in belt and gear drives.

Interactive modelUniform circular motion

Activities

Lecture
Lecture · 1 h 15 min · required
Problem solving: “Circular motion”
Practice · 1 h 15 min · required
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Problem solving: “Circular motion”
  • Final test — at least 70%