Angular Acceleration Problem: Solving for 0.5 rad/s^2 in Fixed Axis Rotation

In summary, angular acceleration is the rate of change of angular velocity, expressed in radians per second squared (rad/s^2). A fixed axis rotation is when an object rotates around a fixed point, in contrast to non-fixed axis rotation. To solve for 0.5 rad/s^2 in a fixed axis rotation, use the formula: angular acceleration = (final angular velocity - initial angular velocity) / time. The units for angular acceleration are radians per second squared (rad/s^2), which represents the change in angular velocity over time. Angular acceleration and linear acceleration are related through the formula: linear acceleration = angular acceleration * radius, where radius is the distance from the axis of rotation to the object.
  • #1
physicnow
10
0
I got this problem and I got the answer 0.5 rad/s^2, but it is not the right one. pls help me. thanks

At t=0 wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2 rad/s. Two seconds later it has turned 5 complete revolutions. What is the angular acceleration of this wheel.
 
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  • #2
What's an equation relating angular displacement with time under uniform angular acceleration? And if you want to know why your answer is wrong you'll have to post what you actually did.
 
  • #3
Thanks

I figured it out already.
 

FAQ: Angular Acceleration Problem: Solving for 0.5 rad/s^2 in Fixed Axis Rotation

What is angular acceleration?

Angular acceleration is the rate of change of angular velocity, which is the measure of how quickly an object's rotational speed is changing. It is expressed in units of radians per second squared (rad/s^2).

What is a fixed axis rotation?

A fixed axis rotation is a type of rotational motion where an object rotates around a fixed axis or point. This is in contrast to non-fixed axis rotation, where the axis of rotation changes over time.

How do you solve for 0.5 rad/s^2 in a fixed axis rotation?

To solve for 0.5 rad/s^2 in a fixed axis rotation, you can use the formula: angular acceleration = (final angular velocity - initial angular velocity) / time. Plug in the known values for final and initial angular velocity, and solve for time.

What are the units for angular acceleration?

The units for angular acceleration are radians per second squared (rad/s^2). This unit represents the change in angular velocity over time.

How is angular acceleration related to linear acceleration?

Angular acceleration and linear acceleration are both measures of how quickly an object's velocity is changing. However, angular acceleration refers to rotational motion, while linear acceleration refers to straight-line motion. They are related through the formula: linear acceleration = angular acceleration * radius, where radius is the distance from the axis of rotation to the object.

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