Physics

Physics

Problem

The radius of gyration of a body about a given axis is 20 cm20\,\text{cm}. What are the dimensions of radius of gyration? a) M0L2T0M^{0}L^{2}T^{0} b) M0L1T0M^{0}L^{1}T^{0} c) M1L2T0M^{1}L^{2}T^{0} d) M0L1T−1M^{0}L^{1}T^{-1}
Intuitive explanation

Radius of gyration is a way to express how a body's mass is distributed relative to a rotation axis—it's the distance from the axis where you could concentrate all the mass and get the same rotational inertia. Since it represents a physical distance, its dimensions are simply length. Think of it as answering: "How far out, on average, is the mass spread from the axis?"

Intuitive explanation

Radius of gyration is a way to express how a body's mass is distributed relative to a rotation axis—it's the distance from the axis where you could concentrate all the mass and get the same rotational inertia. Since it represents a physical distance, its dimensions are simply length. Think of it as answering: "How far out, on average, is the mass spread from the axis?"

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