The Physics Behind a Ceiling Fan: Understanding Angular Momentum and Stability

In summary, the conversation discusses the physics behind a rotating fan and its stability. According to Newton's 3rd law, every action has an equal and opposite reaction. This means that the anti-clockwise angular momentum of the fan should produce a clockwise torque on its handle. However, at steady state, the motor and air also exert torques on the fan, resulting in a net torque of zero. This prevents the handle from becoming unstable and the fan from falling down.
  • #1
STAR GIRL
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Fan makes me wonder the Vicinity of Physics. The fan is rotating at an anti-clockwise direction & it is suspended from the ceiling by a cylindrical handle. Now the fun starts here...

According to Newton's 3rd law every action has its opposite reaction. That means the anti-clockwise angular momentum of the fan should produce a clockwise torque on its handle which will make the handle unstable & forces the fan to fall down.

But this never happens why?
 
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  • #2
At steady state (not accelerating), the motor exerts an anti-clockwise torque on the fan, the fan exerts an anti-clockwise torque on the air related to drag. The air exerts a clockwise torque on the fan, which in turn exerts a clockwise torque on the motor, which in turn exerts a clockwise torque on the handle, which in turn exerts a clockwise torque on the ceiling (the "ceiling" would exert an anti-clockwise torque on the handle).
 
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  • #3
STAR GIRL said:
According to Newton's 3rd law every action has its opposite reaction. That means the anti-clockwise angular momentum of the fan should produce a clockwise torque on its handle
Constant angular momentum does not produce torque; the drag of the fan against the air is what produces the torque.
which will make the handle unstable & forces the fan to fall down.

But this never happens why?
It isn't much torque.
 
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Thanks
 

Related to The Physics Behind a Ceiling Fan: Understanding Angular Momentum and Stability

1. What is angular momentum?

Angular momentum is a measure of the rotational motion of an object. It is defined as the product of an object's moment of inertia and its angular velocity. In simpler terms, it is the tendency of an object to continue rotating at a constant rate unless acted upon by an external torque.

2. How does angular momentum relate to a ceiling fan?

A ceiling fan uses angular momentum to rotate its blades. The motor of the fan creates a torque that causes the blades to rotate, and the angular momentum of the blades allows them to continue rotating until the torque is removed.

3. What factors affect the stability of a ceiling fan?

The stability of a ceiling fan is affected by its center of mass, the distribution of weight in the blades, and any external forces acting on the fan. If the center of mass is not located directly above the base, or if the blades are unbalanced, the fan may wobble or become unstable.

4. How do you calculate the angular velocity of a ceiling fan?

The angular velocity of a ceiling fan can be calculated by dividing the number of rotations the fan makes in a given time period by that time period. For example, if a fan makes 10 rotations in 30 seconds, its angular velocity would be (10 rotations)/(30 seconds) = 0.33 rotations per second.

5. Can a ceiling fan lose angular momentum?

Yes, a ceiling fan can lose angular momentum if the external torque acting on it is greater than the torque produced by the motor. This can cause the fan to slow down or even stop rotating. However, the fan's angular momentum can also be conserved by increasing the angular velocity or decreasing the moment of inertia (e.g. by changing the position of the blades).

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