# Question: The angular momentum L of a particle of mass m

The angular momentum (L) of a particle of mass m moving at a constant speed v in a circle of radius r is given by L = mvr (Section 8.5).

(a) What are the units of angular momentum in terms of SI base units?

(b) The units of kinetic energy in terms of SI base units are kg∙m2 / s2. Using SI unit analysis, show that the expression for the kinetic energy of this particle in terms of its angular momentum, K = L2 / 2mr2’, is dimensionally correct.

(c) In the previous equation, the term mr2 is called the moment of inertia of the particle in the circle. What are the units of moment of inertia in terms of SI base units?

(a) What are the units of angular momentum in terms of SI base units?

(b) The units of kinetic energy in terms of SI base units are kg∙m2 / s2. Using SI unit analysis, show that the expression for the kinetic energy of this particle in terms of its angular momentum, K = L2 / 2mr2’, is dimensionally correct.

(c) In the previous equation, the term mr2 is called the moment of inertia of the particle in the circle. What are the units of moment of inertia in terms of SI base units?

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