[ Force ] = [ Mass x Length / Time2 ]
The dimensional formula of force constant is MLT⁻², where M represents mass, L represents length, and T represents time.
The dimensional formula of force is [M][L][T]^-2, representing mass, length, and time raised to the respective exponents of 1, 1, and -2.
If the force F length l and time T are chosen as fundamental quantities the dimensional formula foe mass
The dimensional formula of electric current is [I] = [A], where I represents current and A represents ampere.
The dimensional formula for angular velocity is T-1, where T represents time.
The dimensional formula of force constant is MLT⁻², where M represents mass, L represents length, and T represents time.
The dimensional formula of force is [M][L][T]^-2, representing mass, length, and time raised to the respective exponents of 1, 1, and -2.
The dimensional formula of depression is that it has the same dimensions as pressure, which is force per unit area. Thus, the dimensional formula of depression is [ML^-1T^-2].
If the force F length l and time T are chosen as fundamental quantities the dimensional formula foe mass
Resistance = V/I Dimensional formula for V ML2T -3A -1 Dimensional formula for I A Dimensional formula for R= ML2T -3A -1 / A = ML2T -3A -2
Resistance = V/I Dimensional formula for V ML2T -3A -1 Dimensional formula for I A Dimensional formula for R= ML2T -3A -1 / A = ML2T -3A -2
The dimensional formula of current density (J) is derived from the definition of current density as current per unit area. Current (I) has a dimensional formula of ([I]), and area (A) has a dimensional formula of ([L^2]). Therefore, the dimensional formula of current density is ([J] = [I][L^{-2}] = [I][L^{-2}]).
[Young's Modulus] = M1L-1T-2 __> this is the dimensional formula
The dimensional formula of electric current is [I] = [A], where I represents current and A represents ampere.
The dimensional formula for angular velocity is T-1, where T represents time.
Impulse is defined as the change in momentum of an object and is calculated as the product of force and the time duration over which the force acts. Its dimensional equivalent is given by the formula: impulse = force × time. In terms of dimensions, force (F) has the dimension of mass (M) times acceleration (L/T²), which gives it the dimensional representation of [M L T⁻²]. Therefore, impulse has the dimensions of [M L T⁻²] × [T] = [M L T⁻¹].
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