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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/01%3A_Introduction_to_Physics_and_Measurements/1.06%3A_Dimensional_AnalysisFor example, if r is the radius of a cylinder and h is its height, then we write [r] = L and [h] = L to indicate the dimensions of the radius and height are both those of length, or L. Similarly, if w...For example, if r is the radius of a cylinder and h is its height, then we write [r] = L and [h] = L to indicate the dimensions of the radius and height are both those of length, or L. Similarly, if we use the symbol A for the surface area of a cylinder and V for its volume, then [A] = L 2 and [V] = L 3 . If we use the symbol m for the mass of the cylinder and \(\rho\) for the density of the material from which the cylinder is made, then [m] = M and [\(\rho\)] = ML −3 .
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/01%3A_The_Basics_of_Physics/1.5%3A_Units_and_Measurement_Redux/Dimensional_AnalysisThe dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This ...The dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This fact can be used as an aid in remembering physical laws, as a way to check whether claimed relationships between physical quantities are possible, and even to derive new physical laws.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/01%3A_Introduction_to_Physics_and_Measurements/1.06%3A_Dimensional_AnalysisThe derivative of a function is just the slope of the line tangent to its graph and slopes are ratios, so for physical quantities v and t, we have that the dimension of the derivative of v with respec...The derivative of a function is just the slope of the line tangent to its graph and slopes are ratios, so for physical quantities v and t, we have that the dimension of the derivative of v with respect to t is just the ratio of the dimension of v over that of t:
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/01%3A_Introduction_to_Physics_and_Measurements/1.06%3A_Dimensional_AnalysisThe derivative of a function is just the slope of the line tangent to its graph and slopes are ratios, so for physical quantities v and t, we have that the dimension of the derivative of v with respec...The derivative of a function is just the slope of the line tangent to its graph and slopes are ratios, so for physical quantities v and t, we have that the dimension of the derivative of v with respect to t is just the ratio of the dimension of v over that of t:
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/01%3A_Nature_of_Physics/1.05%3A_Dimensional_AnalysisThe dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This ...The dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This fact can be used as an aid in remembering physical laws, as a way to check whether claimed relationships between physical quantities are possible, and even to derive new physical laws.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/01%3A_Units_and_Measurement/1.05%3A_Dimensional_AnalysisThe dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This ...The dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This fact can be used as an aid in remembering physical laws, as a way to check whether claimed relationships between physical quantities are possible, and even to derive new physical laws.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/01%3A_Units_and_Measurement/1.05%3A_Dimensional_AnalysisThe dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This ...The dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This fact can be used as an aid in remembering physical laws, as a way to check whether claimed relationships between physical quantities are possible, and even to derive new physical laws.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/01%3A_The_Basics_of_Physics/1.09%3A_Dimensional_AnalysisThe dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This ...The dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This fact can be used as an aid in remembering physical laws, as a way to check whether claimed relationships between physical quantities are possible, and even to derive new physical laws.
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/01%3A_C1)_Abstraction_and_Modeling/1.05%3A_Dimensional_AnalysisThe dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This ...The dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This fact can be used as an aid in remembering physical laws, as a way to check whether claimed relationships between physical quantities are possible, and even to derive new physical laws.
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/01%3A_Module_0_-_Mathematical_Foundations/1.01%3A_Objective_0.a./1.1.04%3A_Dimensional_AnalysisThe dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This ...The dimension of a physical quantity is just an expression of the base quantities from which it is derived. All equations expressing physical laws or principles must be dimensionally consistent. This fact can be used as an aid in remembering physical laws, as a way to check whether claimed relationships between physical quantities are possible, and even to derive new physical laws.
