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MLT formulas

Dimensional formulas of some physical quantities are given below:

s.
No.
Physical
Quantity
Relation with other
physical quantities
Dimensional Formula SI Unit
1. Area length × breadth [L] [L] = [L2] m2
2. Volume length × breadth × height [L] [L] [L] = [L3] m3
3. Density kgm-3
4. Speed or Velocity ms-1
5. Acceleration ms-2
6. Force mass × acceleration [M][M0LT-2] = [MLT-2] N
7. Momentum mass × velocity [M][M0LT-1] = [MLT-1] kg ms-1
8. Work force × distance [MLT-2][L] = [ML2T-2] Nm
9. Power W
10. Pressure Nm-2
11. Kinetic energy [M][M0LT-1]2 = [ML2T-2] Nm
12. Potential energy mass × g × distance [M][M0LT-2] [L] = [ML2T-2] Nm
13. Impulse force × time [MLT-2][T] = [MLT-1] Ns
14. Torque force × distance [MLT-2][L] = [ML2T-2] Nm
15. Stress Nm-2
16. Strain Number
17. Elasticity Nm-2
18.

Surface tension

Nm-1
19. Force constant of
spring
Nm-1
20. Gravitational
constant
Nm2 kg-2
21. Frequency s-1
22. Angle rad
23. Angular velocity rad s-1
24. Angular
acceleration
rad s-2
25. Moment of
Inertia
mass × (distance)2 [M] [L2] = [ML2T0] kg m2
26. Angular
momentum
momentum of inertia ×
angular velocity
[ML2T0][M0L0T-1] = [ML2T-1] kg m2 s-1
27. Heat energy [ML2T-2] J
28 Plank's constant Js
29. Velocity gradient s-1
30. Radius of gyration distance [M0LT0] m


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