the time t1 it takes to accelerate:
\(\large{\boxed{\bold{t_1=\frac{\omega_1 }{\alpha}}}}\)
Further explanation
The speed of the rotating object is called angular velocity. This value is part of circular motion.
The angular velocity is denoted by w including the vector quantity. The unit used is usually rpm (rotation per minute) or radians / sec
Average angular velocity is the ratio of angular displacement to the time interval
\(\rm \omega=\dfrac{\Delta \theta}{\Delta t}\)
Circular motion with constant acceleration (angular acceleration denoted by α) can be formulated:
\(\rm \omega=\omega o+\alpha t\)
ωo = initial angular velocity
ω = angular velocity after t
the flywheel accelerate to ω1, so:
wo = 0 because The flywheel is assumed to be at rest at time t = 0
so the equation becomes:
ω1 = ωo + αt
ω1 = 0 + αt
ω1 = αt
\(\large{\boxed{\bold{t=\frac{ \omega_1}{\alpha }}}\)
Learn more
the average velocity
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resultant velocity
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velocity position
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