The free vibration of a rotating Timoshenko nanobeam with a variable cross section on elastic foundation is investigated using the differential quadrature method. For more accuracy, the Timoshenko beam theory is applied where the effects of the shear deformation and rotary inertia are considered. First, the Eringen nonlocal elasticity theory is investigated briefly and the governing differential equations of motion of a Timoshenko nanobeam are derived considering the nonlocal scale parameter, variable cross section and rotation of the nanobeam. Then, by applying the nondimensional parameters, the equations are obtained in the nondimensional form and then, they are rewritten in the differential quadrature form. Finally, by solving these equations, the natural frequencies of the system are obtained. A number of parametric studies are conducted to assess the effects of the nonlocal scaling parameter, rotational speed, hub radius, and the stiffness coefficients of the elastic foundation on the natural frequencies of the system. By neglecting some parameters to reach a simpler model, the results are validated against those reported in the literature where a reasonably good agreement is observed.