At an instant the link AB of length r has an angular velocity ω and an angular acceleration α. What is the total acceleration of AB?

(a) [(ω^2r)^2 + αr)^2]^1/2

(b) [(ωr)^2 + αr)^2]^1/2

(c) [(ω^2r)^2 + αr)]^1/2

(d) [(ω^2r)2 + αr)^2]^1/2

This question was posed to me in an online quiz.

My question is from Acceleration in Mechanisms topic in chapter Acceleration in Mechanisms of Machine Kinematics