A Flywheel with a mass of 320 Kg and radius of gyration of 26 cm accelerates from rest to 750 rpm in
10 seconds.
Calculate: the angular acceleration
First, we need to convert the 750 rpm to radians per second:
Angular velocity (ω) = (750 rpm) * (2π rad/revolution) / (60 s/min) = 78.54 rad/s
Next, we can use the equation for angular acceleration:
α = Δω / Δt
Where:
Δω = final angular velocity - initial angular velocity
Δt = time taken
Plugging in the values:
α = (78.54 rad/s - 0 rad/s) / 10 s
α = 7.854 rad/s^2
Therefore, the angular acceleration of the flywheel is 7.854 rad/s^2.