Physics Hwk Problem: Centripetal Acceleration

AI Thread Summary
To solve the centripetal acceleration problem for a ceiling fan with two angular speeds, the formula for centripetal acceleration (a) is a = ω²r, where ω is the angular speed and r is the radius. The ratio of centripetal accelerations (a1/a2) can be expressed as (w1²/w2²) since the radius remains constant for both settings. Given w1 = 485 rev/min and w2 = 120 rev/min, the ratio simplifies to the square of the ratio of angular speeds. The radius is not needed for the ratio calculation as it cancels out. This approach allows for a straightforward comparison of the accelerations at different speeds.
shawonna23
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A ceiling fan has two different angular speed settings: w1 = 485 rev/min and w2 = 120 rev/min. What is the ratio (a1/a2) of the centripetal accelerations of a given point on a fan blade?

How would I go about solving this problem?
 
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What's the formula for centripetal acceleration? Hint: Find the formula for centripetal acceleration in terms of angular speed (\omega).
 
Physics hwk problem: Centripetal Acceleration

I used the equation: w^2=a/r. I found the angular speed, but i don't know what the radius is.
 
The radius will not change between the two speed settings.
 

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