In the equation if r has the dimension of l then we know

Question

Example: In the equation  if r has the dimension of [L] then we know that x must have a dimension of [L]. Furthermore, if the unit of r is cm then x must have a unit of cm.

Question 1.: Given the equation if the dimension of a_tot is [L]/[T]², what is the dimension of a_r and a_tan?

Question 2. Given the equation ρ = m/V where ρ has the dimension [M]/[L]³ and m has the dimension [M], what is the dimension of V?

Question 3. The density of an unknown substance is 9.5 x 10³ kg/m³. What is the density of this substance in g/cm³? 1kg = 1000g and 1 m = 100cm.

_____g/cm³