Answer:
The store energy is 2113109.72 J.
Explanation:
Given that,
Radius = 0.11 m
Mass = 6.5 kg
Spins = 70000 rpm
Suppose we need to find how much kinetic energy is stored by the flywheel when it is rotating at its maximum rate
We need to calculate the moment of inertia
Using formula of moment of inertia
[tex]I=mr^2[/tex]
Put the value into the formula
[tex]I=6.5\times(0.11)^2[/tex]
[tex]I=0.07865\ kg-m^2[/tex]
We need to calculate the rotational kinetic energy
Using formula of rotational kinetic energy
[tex]K.E=\dfrac{1}{2}I\omega^2[/tex]
Put the value into the formula
[tex]K.E=\dfrac{1}{2}\times0.07865\times(70000\times\dfrac{2\pi}{60})^2[/tex]
[tex]K.E=2113109.72\ J[/tex]
Hence, The store energy is 2113109.72 J.
