When the tangential acceleration a 1=αr=0.2+0.3t t=2, a 1=0.8.

Angular velocity of particle: ω=∫αt=2t+3t? /2 t=2，ω= 10。

Normal acceleration at this time: a2=ω? r= 10

Total acceleration a=√a 1? +a2？ =...z do the math.

Angular displacement of particle: θ=∫ωdt= t? +t？ /2

When t= 10, θ=600.

Number of turns: N=θ/2π= 300/π.

All units are international units.