When a ceiling fan is switched on, it makes 10 revolution in the first 3 s. Assuming a uniform angular acceleration, how many rotation it will make in the next 3 s ?

Step-by-step solution

Angle turned in three second and ₃ s=2 10=20 rad ₁= ₀ t+ 1 2 t^2 = 49 9 rad / s ^2 Now, angle turned in 6 s from the starting ₂= ₀ t+ 1 2 t^2=0+ 1 2 ( 40 9 )+(6)^2=80 rad Angle turned between t=3 ~s to t=6 ~s _ lost = ₂- ₃=80 -20 =60 Number of revolution = 60 2 =30