EGN 3321 Lecture Notes - Lecture 8: Flight Controller, Angular Acceleration, Sign Convention
Document Summary
Students will be able to: determine velocity and acceleration components using cylindrical coordinates. In-class activities: check homework, reading quiz, applications, velocity components, acceleration components, concept quiz, group problem solving, attention quiz. We can express the location of p in polar coordinates as r = r ur. Note that the radial direction, r, extends outward from the fixed origin, o, and the transverse coordinate, , is measured counter- clockwise (ccw) from the horizontal. The instantaneous velocity is defined as: v = dr/dt = d(rur)/dt v = rur + r dur dt dur/dt = (dur/d )(d /dt) We can prove that dur/d = u so dur/dt = u . Thus, the velocity vector has two components: r, called the radial component, and r called the transverse component. The speed of the particle at any given instant is the sum of the squares of both components or v = (r )2 + ( r )2.
