Home
Class 11
PHYSICS
The rotational kinetic energy of a body ...

The rotational kinetic energy of a body is given by`E=1/2I omega^(2)`. Use this equation to get the dimensional formula of I?

Text Solution

AI Generated Solution

To find the dimensional formula of the moment of inertia \( I \) from the equation for rotational kinetic energy \( E = \frac{1}{2} I \omega^2 \), we can follow these steps: ### Step 1: Rearranging the Equation Start with the equation for rotational kinetic energy: \[ E = \frac{1}{2} I \omega^2 \] To isolate \( I \), we rearrange the equation: ...
Promotional Banner

Topper's Solved these Questions

  • DIMENSIONS

    ICSE|Exercise SHORT ANSWER QUESTIONS WITH ANSWERS|10 Videos
  • DIMENSIONS

    ICSE|Exercise LONG ANSWER QUESTIONS|3 Videos
  • COMPETITION CARE UNIT

    ICSE|Exercise OBJECTIVE QUESTIONS FROM PREVIOUS IAS EXAMINATIONS |50 Videos
  • DYNAMICS

    ICSE|Exercise SHORT ANSWER QUESTIONS WITH ANSWERS|12 Videos

Similar Questions

Explore conceptually related problems

The rotaitonal kinetic energy E=1/2I omega^(2) . Use this equation to get the dimensional formula for omega , where I is the moment of inertia and omega is the angular velocity.

[ML^(-1)T^(-2)] is the dimensional formula of

The rotational kinetic energy of a body is E and its moment of inertia is I . The angular momentum is

The rotational kinetic energy of a body is E. In the absence of external torque, the mass of the body is halved and its radius of gyration is doubled. Its rotational kinetic energy is

ML^(2)T^(-2)I^(-2) is the dimensional formula for

The rotational kinetic energy of two bodies of moment of inertia 9 kg m^(2) and 1kg m^(2) are same . The ratio of their angular momenta is

[ML^(2)T^(-3)A^(-1)] is the dimensional formula for

Angular momentum L and rotational kinetic energy K_R of a body are related to each other by the relation. (I = moment of inertia)

The richardson equaction is given by I = AT^(2) e^(-B//kT) . The dimensional formula for AB^(2) is

The displacement of a progressive wave is represented by y = A sin (omegat - kx), where x is distance and t is time. Write the dimensional formula of (i) omega and (ii) k.