Physics, asked by wasnikbadal95, 7 months ago

the dimensions of restoring torque per unit angular displacement are​

Answers

Answered by help7oo645o984
0

Answer:

L. MLT^-2

ML^2T^2

................

Answered by abhi178
1

The dimensions of restoring torque per unit angular displacement are  [M¹L²T⁻²].

We have to find the dimensions of restoring torque per unit angular displacement.

Concepts :

  • Torque : Torque is a measure of a force than can cause an object to rotate about its axis.
  • mathematically,  Torque is the vector product of position and force vectors.
  • Hence, the dimensions of Torque is the dimensions of product of position and force. i.e., dimensions of rF.
  • angular displacement is the change in angle of an object about its axis. It is dimensionless quantity.

Now, dimensions of torque per unit angular displacement = dimensions of torque/dimensions of angular displacement

= dimensions of rF/[M⁰L⁰T⁰]

= [L¹][M¹L¹T⁻²]/[M⁰L⁰T⁰]

= [M¹L²T⁻²]

Therefore the dimensions of restoring torque per unit angular displacement are  [M¹L²T⁻²].

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