A 1 kg mass clay, moving with a velocity of 10 m/s, strikes a stationary wheel and sticks to it as shown in figure. The solid wheel has a mass of 20 kg and radius of 1 m. Due to impact, wheel starts rolling without slip. The angular speed of the wheel at the start is ___ (Assume that the mass of the clay is very less in comparison to the wheel)
1
0
2
\(\frac{1}{3}\) rad/s
3
\(\sqrt{\frac{10}{3}}\) rad/s
4
\(\frac{10}{31}\) rad/s