A ceiling fan has five blades, each with a mass of 0.34 kg and a length of 0.66 m. The fan is operating in its "low" setting at which the angular speed is 9.4 rad/s. If the blades can be approximated as uniform thin rods that rotate about one end, what is the total rotational kinetic energy of the five blades?

Respuesta :

Answer: The total rotational kinetic energy of the five blades is 10.9J

Explanation: Please see the attachments below

Ver imagen Abdulazeez10
Ver imagen Abdulazeez10

The moment of inertia for the 5 blades of fan is [tex]\bold {0.246\ kg.m^2 }[/tex]

From the fomula of moment of inertia,

[tex]\bold {I = \dfrac 13 ML^2}[/tex]

So, total moment of innertia of 5 blades,

[tex]\bold {I_t= \dfrac 53 ML^2}[/tex]

Where,

M - mass = 0.34 kg

L - length = 0.66 m

put the values in the formula,

[tex]\bold {I_t= \dfrac 53 \times 0.34\times 0.66^2}\\\\\\bold {I_t=0.246\ kg.m^2 }[/tex]

Therefore, the moment of inertia for the 5 blades of fan is [tex]\bold {0.246\ kg.m^2 }[/tex]

To know more about  moment of inertia,

https://brainly.com/question/6953943