A wheel starting from rest gains an angular velocity of 10 rad / s after uniformly accelerated for 5 ~s . The total angle through which it has turned is

Step-by-step solution

Initial angular velocity of wheel, ₀=0 Final angular velocity, =10 rad / s t=5 ~s By first equation of rotational motion, array ll & = ₀+ t & 10=0+ 5 & = 10 5 =2 rad / s ² array If be the total angle through which wheel has turned, then from, aligned &= ₀ t+ 1 2 t² &=0 5+ 1 2 2 5²=0+25 &=25 rad aligned