A particle of mass m uniformly accelerates as it moves counterclockwise along the circumference of a circle of radius R:
r→ = î R cos θ + ĵ R sin θ
with θ = ω₀t + (1/2)αt² , where the constants ω₀ and α are the initial angular velocity and angular acceleration, respectively. Determine the object’s tangential acceleration a→_tan and determine the torque acting on the object using
(b) τ→ = Iα→ .