Does Rotational Kinetic Energy Differ for Objects Like Fans in the Air?

  • Thread starter Thread starter kmikias
  • Start date Start date
  • Tags Tags
    Energy
AI Thread Summary
Rotational kinetic energy for objects like fans in the air is calculated using the formula ½Iω², where I is the moment of inertia and ω is the angular velocity. When a fan is in motion, its kinetic energy consists solely of rotational kinetic energy, as it does not have translational motion. The moment of inertia is crucial and varies based on the shape of the fan blades. Understanding these principles is essential for accurately calculating the kinetic energy of rotating objects. Thus, the kinetic energy of a fan in operation is determined by its rotational dynamics.
kmikias
Messages
72
Reaction score
0
Hi I have some question on rotational kenitic energy.here is my question

If something rolling motion the total kinetic energy is the translation kinetic energy and the rotational kinetic
Energy.where I am confuse is what if something rotating in the air like a fan,air conditioner
What would be the kinetic energy would that be 1/2Iw^2...for circle.
 
Physics news on Phys.org
Your fan blades would have rotational kinetic energy only if the fan is at rest.

And yes that would be ½Iω².

Determining the moment of inertia would be your only problem depending on the shape of the blade.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top