Relationships between Linear and Angular Quantities:

• Linear and angular quantities are related because an object undergoing rotational motion can also have linear motion, depending on the point of interest.

• The linear and angular quantities are related by the formula: �=�⋅�s=r⋅θ, where:

  • �s is the linear displacement (in meters),
  • �r is the radius of rotation (in meters) from the axis of rotation to the point of interest, and
  • �θ is the angular displacement (in radians).

• Similarly, you can relate linear velocity (�v) and angular velocity (�ω) with the formula: �=�⋅�v=r⋅ω, where �v is in meters per second and �ω is in radians per second.

• The relationship between linear acceleration (�a) and angular acceleration (�α) depends on the geometry of the rotational motion and can be more complex. It may involve higher-order equations.