What is dimensional equation ? Explain with examples.
Answers
Answer:
Dimensional formula of any physical quantity is an expression which represents how and which of the base quantities are included in that quantity. ... The equation obtained by equating a physical quantity with its dimensional formula is called a dimensional equation.
Explanation:
The dimensional formula is a compound expression showing how and which of the fundamental quantities are involved in making that physical quantity. The dimensional equation of a physical quantity is an equation, equating the physical quantity with its dimensional formula
The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions. For example, dimensional force is. F = [M L T-2] It's because the unit of Force is Netwon or kg*m/s2. Dimensional equation.
Dimensional equation : An equation obtained by equating a physical quantity with its dimensional formula is called dimensional equation of the physical quantity. Example: Volume [V]=[M0L3T0] Speed of Velocity [v]=[M0L1T-1]
What is dimensional equation ? Explain with examples.
Explanation:
- An equation, which offers the relation among essential devices and derived devices in phrases of dimensions is known as size equation( formula).
- In mechanics the length, mass and time are taken because the base dimensions and are represented through letters L, M, T respectively.
examples:
Dimensional equation for area:
we have = length × breadth
= length × length
= [L] × [L]
= [L²]
∴dimensional formula for area(A) = [L² M⁰ T⁰]
thus, [L² M⁰ T⁰] → is called dimensional formula (equation)
[², ⁰ ,⁰] → are called dimensions.
thus, dimensions of area are
2 in length
0 in mass
and 0 in time