dimensions of pressure are?plz
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Hello
The dimensional formula of pressure is given by,
M 1 L -1 T -2
Where,
- M = Mass
- L = Length
- T = Time
Pressure (P) = Force × Area -1 . . . . . (1)
Since, Force = Mass × Acceleration
And, acceleration = velocity × time -1 = [L T -1 ] [T] -1 = [L T -2 ]
∴ The dimensional formula of force = [M] × [L T -2 ] = Force = M 1 L 1 T -2 . . . . (2)
The dimensional formula of area = M 0 L 2 T 0 . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Pressure (P) = Force × Area -1
Or, P = [M 1 L 1 T -2 ] × [L 2 ] -1 = M 1 L -1 T -2 .
Therefore, the pressure is dimensionally represented as M 1 L -1 T -2 .
hope it's help you
All the best
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