When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest?

Step-by-step solution

From third equation of angular motion, array l ²= ₀²-2 [ Here, = ₀ 2 , =36 2 ] ( ₀ 2 )²= ₀²-2 36 2 or 4 36 = ₀²- ₀² 4 array or 4 36 = 3 ₀² 4 or = ₀² 16 12 ...(i) According to question again applying the third equation of angular motion ²= ₀²-2 [Here, =0 ] 0= ( ₀ 2 )²-2 ₀² 16 12 or =24 or =12 2 array lc But & 2 =1 cycle So, & =12 cycle array