For circular motion of fixed radius R, let angular speed be ω and angular acceleration be α. Which statements are correct?
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Question

For circular motion of fixed radius R, let angular speed be ω and angular acceleration be α. Which statements are correct?

G1 Physics · Accepted Answer

Tangential acceleration magnitude is |aₜ|=R|α|. Radial acceleration is a_c=v²/R=Rω². Since aₜ and a_c are perpendicular, |a| = √[(Rα)²+(Rω²)²] = R√(α²+ω⁴), not R(ω²+|α|).