Final answer:
It is not possible to calculate speed with only moment of inertia and radius, as they do not directly relate to linear speed without additional information such as angular velocity, which can be derived from other principles like conservation of energy or dynamics equations.
Step-by-step explanation:
Finding speed with only the knowledge of moment of inertia and radius is not typically feasible, as these two quantities alone do not directly determine linear speed (tangential speed). Speed is generally related to rotational motion via the equation v = rw, where v is the linear speed, r is the radius, and w is the angular velocity. The moment of inertia is related to angular motion and describes how the mass is distributed with respect to the axis of rotation, affecting how the object resists changes to its angular velocity.
To calculate speed, one usually requires additional information such as angular velocity, which can sometimes be inferred from energy principles or dynamics equations relating forces or torques to angular acceleration. For example, in the case of an object rolling down an incline, conservation of energy can be used to find the angular velocity, and thus the linear speed. The gravitational potential energy lost is converted into both rotational and translational kinetic energy.
Without additional information on the forces or energy changes involved, it is impossible to determine the linear speed solely from the moment of inertia and radius. More context, such as a specific scenario or additional parameters, is needed to calculate the desired speed.