Apotter's wheel, with rotational inertia 46 kg · m2, is spinning freely at 40 rpm. the potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. if the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay?

mass of clay = 8 kg

Explanation:

Rotational inertia of wheel =

Angular speed of wheel =ω₁ = 40 rpm = 4.188 rad/sec

Clay drops on wheel from distance = r= 1.2 m

Angular speed of clay and wheel = ω₂ = 32 rpm = 3.35 rad/sec

To find:

Mass of clay = M =?

Angular momentum before clay drop =

After collision, angular momentum =  

Using concept of conservation of angular momentum

                                             L₁ = L₂

it is easily magnetized.