A ceiling fan has blades each of length 0.30m. Starting from 900rpm it speeds up uniformly to 1800rpm in 10s. Consider the tip of a blade.
(i) Determine the uniform angular acceleration during the speed-up interval.
(ii) Obtain expressions for the tangential and centripetal components of the linear acceleration of the blade tip as functions of time t(0≤t≤10s).
(iii) On the same set of axes, sketch qualitatively the variation of these two acceleration components with time and briefly comment on their relative magnitudes at t=0 and t=10s.
(iv) Calculate the magnitude of the resultant linear acceleration of the tip at t=5s.