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A fly wheel is rotating at a speed of 16...

A fly wheel is rotating at a speed of 160 r.p.m. whose weight is 20 kg and its centre of mass at a distance of 0.01 m from the axis of rotation. Calculate :
the energy stored in the fly wheel.

Text Solution

Verified by Experts

Angular velocity, `omega=2pin`
`" "n=160 r.p.m` (n = rotating speed)
`" "n=160/60=8/3rps`
So. `" "omega=2pin`
`" "=2 times pi times 8/3 = (16pi)/3` rad/sec
radius, (r) = 0.01 m
Mass, (m) = 20 kg
Energy stored in the fly wheel
`" "=1/2 Iomega^(2)`
`" "=1/2 times 2 times 10^(-3) times (16pi)/3 times (16pi)/3`
`" "=256/9 times 10^(-3) times pi^(2)`
`" "=28.44 times 10^(-3) times 3.14 times 3.14`
`" "=280.41 times 10^(-3)`
`" "=2.80 times 10^(-1)` Joule or 0.28 Joule
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