Page 125 - WCS - Electrical

WORKSHOP CALCULATION & SCIENCE - CITS

Check the consitency of dimensional formula of Force.

Solution
Force = ?
Mass = (M)
Acceleration = (LT )
-2
Force = mass x acceleration
LHS should be equal to RHS.

We know Dimensional formula for force = M L L
1 1 -2
Mass = M 1
acceleration = Velocity
time

Velocity = Distance = L
time T
Substitute the dimensional formula for velocity in equation
Acceleration = L = L T -2
1
T x T

Force = Mass x acceleration
(M) (L T )
1
-2
M L T = M L T -2
1 1
1 1
-2
Problems
1 Derive dimensional formula for acceleration.
2 Derive dimensional formula for density.
3 Derive DM for pressure.
4 Derive DM for work.
5 Derive DM for stain.

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CITS : WCS - Electrical - Exercise 10