Constant angular acceleration of a rotating wheel

In summary, the rotating wheel takes 4.7 seconds to rotate 33.5 revolutions and has an angular speed of 45.5 rad/s at the end of that interval. The question is asking for the constant angular acceleration, assuming it has the same sign as the angular velocity. One possible formula to use is wf^2 - wo^2 = 2a(Of - Oo), but the initial angular velocity is not given so it cannot be assumed to be zero.
  • #1
jscherf92
3
0
A rotating wheel requires 4.7 s to rotate
through 33.5 rev. Its angular speed at the
end of the 4.7 s interval is 45.5 rad/s.
What is its constant angular acceleration?
Assume the angular acceleration has the same
sign as the angular velocity.
Answer in units of rad/s2.

wf^2-wo^2=2a(Of-Oo)

Ive got a page of failed equations on my paper, and i need a push in the right direction.
 
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  • #2
Hi jscherf92! :smile:

The question doesn't give you the initial angular velocity, so I don't think we can assume it's zero.

So use a standard constant acceleration formula with s t a and v (angular version) :wink:
 

1. What is constant angular acceleration of a rotating wheel?

Constant angular acceleration of a rotating wheel is the rate of change of angular velocity over time, which remains constant. It is a measure of how quickly the wheel is rotating.

2. What causes constant angular acceleration of a rotating wheel?

Constant angular acceleration of a rotating wheel is caused by a constant torque acting on the wheel. This could be from an external force or from the internal components of the wheel.

3. How is constant angular acceleration of a rotating wheel calculated?

Constant angular acceleration of a rotating wheel can be calculated using the formula: α = (ωf - ωi) / t, where α is the angular acceleration, ωf is the final angular velocity, ωi is the initial angular velocity, and t is the time interval.

4. What are some real-life examples of constant angular acceleration of a rotating wheel?

Some real-life examples of constant angular acceleration of a rotating wheel include a car accelerating around a curved track, a spinning top, and a spinning merry-go-round.

5. How does constant angular acceleration of a rotating wheel affect the motion of the wheel?

Constant angular acceleration of a rotating wheel causes the wheel to rotate at a constant speed, with the angular velocity increasing or decreasing at a constant rate. This results in a more uniform and predictable motion of the wheel.

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