A rotating fan completes 1200 revolutions every minute.Consider the tip of the b

Question

A rotating fan completes 1200 revolutions every minute.Consider the tip of the blade, at a radius of .15m. a) Through what distance does the tip move in onerevolution? b) What is the tip's speed? c) What is the magnitude of its acceleration? d) What is the period of the motion? A rotating fan completes 1200 revolutions every minute.Consider the tip of the blade, at a radius of .15m. a) Through what distance does the tip move in onerevolution? b) What is the tip's speed? c) What is the magnitude of its acceleration? d) What is the period of the motion?

Explanation / Answer

a) 1200rev/min(1min/60s)(2rad/rev)= 125.7 rad/s, sox=r=(.15m)(1rev)(2rad/rev)=.9425 m b) V=r=(.15m)(125.7rad/s)= 18.885 m/s c) a=V2/r=(18.885m/s)2/(.15)= 2.38x103 m/s2d) Period is the time tocomplete 1rev, so =/t, and t=(1rev(2rad/1rev))/(125.7rad/s)= 5x10-2 seconds

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