Dimensions of Linear Momentum

Dimensional Formula of Linear Momentum

The dimensional formula of linear momentum is given by,

[M¹ L¹ T^-1]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Linear Momentum = Mass × [Velocity] . . . . . . (1)

The dimensional formula of,

Mass = [M¹ L⁰ T⁰] . . . . (2)

Velocity = [M⁰ L¹ T^-1] . . . . (3)

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

Linear Momentum = Mass × [Velocity]

Or, L = [M¹ L⁰ T⁰] × [M⁰ L¹ T^-1] = [M¹ L¹ T^-1].

Therefore, linear momentum is dimensionally represented as [M¹ L¹ T^-1].

⇒ Check Other Dimensional Formulas:

• Dimensions of Tension
• Dimensions of Rotational Kinetic Energy
• Dimensions of Impedance
• Dimensions of Time Period
• Dimensions of Gravitational Potential Energy

Conservation of Linear Momentum