How Do You Calculate Average Angular Acceleration with Axis Orientation Change?

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To calculate average angular acceleration when the axis of rotation changes, it's essential to consider both the change in angular velocity and the change in orientation. The formula for angular acceleration is the change in angular velocity divided by the time interval. In this case, the initial and final velocities should be converted to consistent units, ensuring that angular velocities are in rad/s. Additionally, the change in orientation must be factored in, as angular velocity is a vector quantity. Proper unit conversion and consideration of vector direction are crucial for accurate calculations.
Aseri
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A wheel is spinning at 44 with its axis vertical. After 15 , it's spinning at 60 with its axis horizontal. Find (a) the magnitude of its average angular acceleration and (b) the angle the average angular acceleration vector makes with the horizontal.

Just trying to work out what I'm doing wrong here to find the average angular acceleration.

I used angular acceleration = final velocity - initial velocity all divided by the time pasted.
(Also converted units from rpm to rad/s2 by multiplying by (2∏/60)So far my initial answer is 0.11 rad/s2 which is apparently wrong, any idea what I can be doing wrong here?
 
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Aseri said:
A wheel is spinning at 44 with its axis vertical. After 15 , it's spinning at 60 with its axis horizontal.
What are the units here?
44rmp, 15mins, 60rpm ...
44rad/s, 15s, 60rad/s ...
something else?

Reading on - perhaps it is a mixture of unit types - rpm for frequency and s for time?
It is best practice to include units in the description.

Find (a) the magnitude of its average angular acceleration and (b) the angle the average angular acceleration vector makes with the horizontal.

Just trying to work out what I'm doing wrong here to find the average angular acceleration.

I used angular acceleration = final velocity - initial velocity all divided by the time pasted.
(Also converted units from rpm to rad/s2 by multiplying by (2∏/60)

So far my initial answer is 0.11 rad/s2 which is apparently wrong, any idea what I can be doing wrong here?
Did you include the change in orientation too? Angular velocity is a vector.

If it were linear motion and I said I'd been going 44m/s north and 15 seconds later I was going 60m/s south ... would the average acceleration be (60-44)/15 ?
 
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