2.A grinding wheel is a uniform cylinder with a radius of 8.50 cm and mass of 0.580 kg. Calculate (a) The torque needed to accelerate it from rest to 1500 rpm in 5 seconds. Answer in Nm.

Answer 1

By 2nd Newton's Law T = Iα; I = mr²/2 = 0.580kg·0.085²m²/2 = 0.0021kgm²; α = 2ω/t² = 2·(1500·2π/60)/(25s²) = 12.5664 rad/s². T = 0.0021kg·m²·12.56s^-2 = 0.0264 Nm

78.54 rad