A Micro –Hydro turbine generator rotor is accelerating uniformly from an angular velocity of 610 rpm to its operating angular velocity of 837 rpm. The radius of the rotor is 0.62 m and its rotational acceleration is 5.9 rad/s2. What is the rotor’s angular velocity (in rad/s) after 3.2 s?

Answer 1

V1 = 610rev/min * 6.28rad/rev * 1min/60s = 63.85 rad/s.

V2 = V1 + a*t. = 63.85 + 5.9*3.2 = 82.73 m/s.