***already have answers to parts A-C, need help on part D*** An electric ceiling

Question

***already have answers to parts A-C, need help on part D***

An electric ceiling fan with blades of diameter 0.720m is rotating about a fixed axis with an initial angular velocity of 0.200rev/s. The angular acceleration of 0.913rev/s^2.

a) Compute the angular velocity after a time of 0.200s.
0.3826 rev/s

b) Through how many revolutions has the blade turned in this time interval?
.05826 rev

c) What is the tangential speed of a point on the tip of the blade at time t=0.200s?
0.865 m/s

d) What is the magnitude of the resultant acceleration of a point on the tip of the blade at time t=0.200s?
Enter your answer numerically to three significant figures.
The answer is not 2.10 or 2.12

Explanation / Answer

You don't indicate what units the answer should have.
= 0.913 rev/s2 x 2 rad/rev 5.74 rad/s2

r = D/2 = 0.72/2 = 0.36 m; v = 0.865 m/s

acentripetal = v2/r = 0.8652/0.36 = 2.08 m/s2

atangential = r = (0.36)(5.74) = 2.07 m/s2

a = (ac2+at2) = (2.082+2.072) = 2.93 m/s2

You should double-check my calculations.

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