How Far Can a Spider Safely Cling to a Spinning Ceiling Fan Blade?

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A spider clinging to a ceiling fan blade rotating at 100 RPM will lose its grip if the centripetal acceleration exceeds 0.3g. Calculations show that the angular velocity is 10π/3 radians per second. Using the formula for centripetal acceleration, the radius at which the spider can safely cling is calculated to be approximately 0.0268 meters. However, there is a discrepancy as another source suggests the safe radius is 1.05 meters. Further investigation is needed to resolve this inconsistency in the calculations.
Masafi
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A ceiling fan is turning at a rate of 100 revolutions per minute. A spider is clinging to a blade. If he experiences a centripetal acc greater than 0.3g, he wil lose his grip and be flung off. How far from the centre can he safely go?

I used: T = 60/100 = 0.6

angular velocity = 2pi/T = 10pi/3

a = (10pi/3)^2 * radius

using a = 0.3g

i get radius = 0.0268...

But the answer is 1.05m?
 
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Your answer looks right to me.
 

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