Angular acceleration of a blender

In summary, angular acceleration is the rate of change of angular velocity, measuring how quickly an object's rotational speed is changing. It differs from linear acceleration, which measures change in linear velocity and is measured in different units. In a blender, angular acceleration is caused by the motor's torque on the blades. Angular acceleration can be negative, indicating a decrease in rotational speed or rotation in the opposite direction. It can be calculated by dividing change in angular velocity by change in time or by dividing torque by moment of inertia.
  • #1
BikeSmoth
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0

Homework Statement


The blades of a kitchen blender rotate counterclockwise at 2.2×10^4 rpm (revolutions per minute) at top speed. It takes the blender 2.1 seconds to reach this top speed after being turned on. What is the average angular acceleration of the blades?


Homework Equations


average angular aceleration=dw/dt

The Attempt at a Solution


after converting rpm to rotations per second I attempted 366.7rps/2.1s=174.6rad/sec

 
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  • #2
Convert rev/min to rad/sec, not rev/sec. (1 rev = ? radians?) And the acceleration will have units of rad/s^2.
 

What is angular acceleration?

Angular acceleration is the rate of change of angular velocity. It is a measure of how quickly the speed at which an object rotates is changing.

How is angular acceleration different from linear acceleration?

Angular acceleration refers to the change in rotational speed, while linear acceleration refers to the change in linear velocity. Angular acceleration is measured in radians per second squared, while linear acceleration is measured in meters per second squared.

What causes angular acceleration in a blender?

Angular acceleration in a blender is caused by the force exerted on the blades by the motor. As the motor spins, it creates a torque that causes the blades to rotate, resulting in angular acceleration.

Can angular acceleration be negative?

Yes, angular acceleration can be negative. This indicates that the object is slowing down or rotating in the opposite direction.

How is angular acceleration calculated?

Angular acceleration is calculated by dividing the change in angular velocity by the change in time. It can also be calculated by dividing the torque applied to an object by its moment of inertia.

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