A small body of mass `m=0.10kg` moves in the reference frame rotating about a stationary axis with a constant angular velocity `omega=5.0rad//s`. What work does the centrifugal force of inertia perform during the transfer of this body along an arbitrary path from point 1 to point 2 which are located at the distances `r_1=30cm` and `r_2=50cm` from the rotation axis?

Explanation

Centrifugal force of inertia is directed outward along radial line, thus the sought work
`A=underset(r_1)overset(r_2)int m omega^2rdr=1/2momega^2(r_2^2-r_1^2)=0*20T` (On substitution)