Dimensions of Weight

Dimensional Formula of Weight

The dimensional formula of weight is given by,

[M¹ L¹ T^-2]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Weight (W) = Mass × Acceleration . . . . . . (1)

Since, Acceleration = Velocity × [Time]^-1

And, velocity is dimensionally represented as [M⁰ L¹ T^-1]

∴ The dimensional formula of acceleration = [M⁰ L¹ T^-2] . . . . . (2)

⇒ The dimensions of mass = [M¹ L⁰ T⁰] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Weight = Mass × Acceleration

Or, W = [M¹ L⁰ T⁰] × [M⁰ L¹ T^-2] = [M¹ L¹ T^-2].

Therefore, the weight is dimensionally represented as [M¹ L¹ T^-2].

⇒ Check Other Dimensional Formulas:

• Dimensions of Boltzmann Constant
• Dimensions of Pressure Gradient
• Dimensions of Universal Gas Constant
• Dimensions of Gravitational Potential Energy
• Dimensions of Impedance