On a hot summer day you go home and turn on the ceiling fan in your living room. Each fan blade is 47 cm long (measured from the axis of rotation). Starting from rest, the blades speed up uniformly to an angular speed of 18.8 rad/s in a time of 4.3 s.
(a) How many times did the fan blades rotate during this time? (b) What was the angular acceleration of the fan blades? (c) What was the centripetal acceleration of a point on the tip of the fan blades at the end of the 4.3-s interval? (d) What was the tangential acceleration at this time?
Answers: (a) 6.4 revs (b) 4.4 rad/s2 (c) 170 m/s2 (d) 2.1 m/s2
|
