The dimensional quantities of interest are the gas density of stationary air, p (kg/m^3), the initial...

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The dimensional quantities of interest are the gas density of stationary air, p (kg/m^3), the initial energy of the blast, E (J or kg-m^2-s^-2), the radius of the blast, R (m), and the time from the blast, t(s). Determine a nondimensional variable, II that combines P. E, R, and t; that is, find a combination of these variable raised to various powers such that the variable has no units. It could be of the form: I = pERt. Solve for R. This is an approximation of the blast radius as a function of time. The dimensional quantities of interest are the gas density of stationary air, p (kg/m^3), the initial energy of the blast, E (J or kg-m^2-s^-2), the radius of the blast, R (m), and the time from the blast, t(s). Determine a nondimensional variable, II that combines P. E, R, and t; that is, find a combination of these variable raised to various powers such that the variable has no units. It could be of the form: I = pERt. Solve for R. This is an approximation of the blast radius as a function of time.