Show that the magnitude of the acceleration vector is

Chapter 12, Problem 48

(choose chapter or problem)

Circular Motion In Exercises 45-48, consider a particle moving on a circular path of radius b described by \(r(t)=b \cos \omega t \mathrm{i}+b \sin \omega t \mathrm{j}\), where \(\omega=d u / d t\) is the constant angular velocity.

Show that the magnitude of the acceleration vector is \(b \omega^{2}\).

Text Transcription:

r(t)=b cos omega t i + b sin omega t j

omega=du/dt

b omega^2

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