WHAT IS DIMENSION OF FORCE AN DERIVE EQUATION OF FORCE

Grade:12th pass

3 Answers

RASHMIT
14 Points
4 years ago
F=MA,MLT^-2 HERE IS THE DIMENSION AND FORMULAE PLEASE FOLLOW BOOK FOR MORE DIMENSION IF ANY PROBLEM THEN POST YOUR DOUBT HERE
Mathematics formulas
13 Points
4 years ago
• AS WE ALL KNOW FROM 2nd LAW THAT     F​​​​​​​​ $\alpha$ dP/dt
F = d(mv)/dt
• if mass is constant then........
​F =m.dv/dt
F =ma
• if velocity is constant then
F = V.dm/dt

Arun
25757 Points
4 years ago

Dimensional formula of mass is represented by [M]

Dimensional formula of length is represented by [L]

Dimensional formula of time is represented by [T]

Force = mass x acceleration ………..(1)

Acceleration = velocity/time

Acceleration = (displacement/time)/(time)

Acceleration = (displacement /time^2)

Acceleration = (length/time^2)

Acceleration = [L]/[T]^2 = [LT^-2]

From equation (1)

Dimensional formula of force = [M] x [LT^-2]

Dimensional formula of force = [MLT^-2]

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