Angular acceleration of a blender

In summary, the angular acceleration of a blender refers to the change in its rotational velocity over time and can be calculated by dividing the change in angular velocity by the change in time. Factors such as motor power, ingredient weight, and blade resistance can affect the angular acceleration, which can be increased by increasing motor power, reducing ingredient weight, or using sharper blades. The angular acceleration has a significant impact on the blending process, with higher values leading to faster and more efficient blending.
  • #1
daltomagne
4
0
The blades in a blender rotate at a rate of 6100rpm. When the motor is turned off during operation, the blades slow to rest in 4.7s
What is the angular acceleration as the blades slow down?
f=6100rpm=366000rps
dt=4.7s

w=2(pi)f
angular acceleration=dw/dt

w=2(pi)3.66*10^5=2.3*10^6 rad/s
wI=2.3*10^6 rad/s
wf=0
angular a=(0-(2.6*10^6))/4.7s=-489286 rad/s2


I thought I was doing it right, but it appears not.
 
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  • #2
6100 rpm is not 366000 rad/s.

I'm not sure what w=2(pi)f means?
 

1. What is angular acceleration of a blender?

The angular acceleration of a blender refers to the rate at which the blender's rotational velocity changes over time. It is a measure of how quickly the blender speeds up or slows down as it rotates.

2. How is angular acceleration calculated?

Angular acceleration can be calculated by dividing the change in the blender's angular velocity by the change in time. It is often measured in units of radians per second squared (rad/s²).

3. What factors affect the angular acceleration of a blender?

The angular acceleration of a blender can be affected by factors such as the motor power, the weight of the ingredients being blended, and the resistance from the blades and container.

4. Can the angular acceleration of a blender be increased?

Yes, the angular acceleration of a blender can be increased by increasing the power of the motor, reducing the weight of the ingredients, or using sharper blades that create less resistance.

5. How does angular acceleration impact the blending process?

The angular acceleration of a blender plays a crucial role in the blending process. A higher angular acceleration can lead to faster and more efficient blending, while a lower angular acceleration may result in a longer blending time.

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