_Microsoft_Word_-_Rotating_Vector_Time_Derivative_ - Time...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Time Derivative of a Rotating Vector A(t) d dt A(t) (t) d A(t) rotates at angular speed . dt |A(t)| = A = constant, so the tip of A(t) traces out a circle of radius A. In short time dt, A rotates thru small angle d , and A(t + dt) = A(t) + dA : As d |dA| and dA 0: |A| d ( in radians), A , so . . . dA = |A| d ^ , and ^ ^ A A(t + dt) dA d A(t) d dA ^ = |A| dt dt ...
View Full Document

This note was uploaded on 03/27/2008 for the course PHYS 1112 taught by Professor Leclair,a during the Spring '07 term at Cornell University (Engineering School).

Ask a homework question - tutors are online