Flywheels are large, massive wheels used to store energy. they can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. an industrial flywheel has a 1.5 m diameter and a mass of 250 kg. its maximum angular velocity is 12000 rpm. a motor spins up the flywheel with a constant torque of 50 nm. how long does it take the flywheel to reach top speed?

t = 1767.43 s

Explanation:

given,

diameter of fly wheel = 1.5 m

mass = 250 Kg

angular speed = 12000 rpm

                        = 12000 x 2π/60

                        = 1256.64 rad/s

torque = 50 Nm

moment of inertia of disk

        I = 70.3125 Kg.m²

we know,

    τ = I α

           α = 0.711 rad/s²

using equation of rotational motion

   ω = ω₀ + α t

    1256.64 = 0 + 0.711 x t

        t = 1767.43 s

c. magnitude and direction