Cant figure this one out . . please help!!
"Calculate the rotational inertia of a wheel that has a kinetic energy of 29 kJ when rotating at 877 rev/min."
Thanks . .
"Calculate the rotational inertia of a wheel that has a kinetic energy of 29 kJ when rotating at 877 rev/min."
Thanks . .
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Angular kinetic energy E in Joules
E = ½Iω²
ω is angular velocity in radians/sec
I = moment of inertia in kg•m²
1 radian/sec = 9.55 rev/min
Assuming you want moment of inertia
877 rev/min x (1 rad/s / 9.55 rev/min) = 91.8 rad/s
E = ½Iω²
29e3 = ½I(91.8)² = 4217 I
I = 6.88 kg•m²
E = ½Iω²
ω is angular velocity in radians/sec
I = moment of inertia in kg•m²
1 radian/sec = 9.55 rev/min
Assuming you want moment of inertia
877 rev/min x (1 rad/s / 9.55 rev/min) = 91.8 rad/s
E = ½Iω²
29e3 = ½I(91.8)² = 4217 I
I = 6.88 kg•m²