the physical quantities which has same dimensional formula
Answers
Answer:
(Angular velocity )= (frequency)= T^-1
Explanation:
Answer:
Torque and energy the physical quantities which has same dimensional formula.
Explanation:
Force = mass × acceleration
F=[M]×[LT⁻²]
⇒F=[MLT⁻²]
Energy = Work done = force × displacement
W=[MLT⁻²]×[L]
⇒W=[ML²T⁻²]
Power = energy/time
Because work and energy are measured in the same unit, the dimensional formula is also the same.
Energy
E=[ML²T⁻²]
Dimensions of power = Energy/Time
P=[ML²T⁻²][T]
(From the above energy dimensional formula, we put here the dimensional formula of energy) P=[ML²T⁻³]
And the torque dimensional formula = Force Perpendicular distances.
τ=[MLT⁻²]×[L]
⇒τ=[ML²T⁻²]
Torque = force perpendicular distance between force and rotation axis
We can deduce the dimensional formula from the given formulas.
Dimension of force =[MLT⁻²]
Dimension of energy =[ML²T⁻²]
Dimension of power =[ML²T⁻³]
Dimension of torque =[ML²T⁻²]
Because work and energy are measured in the same unit, the dimensional formula is also the same. We can see from the above dimensional formulas that the because torque and energy have the same dimensional formula.