Home
Class 12
PHYSICS
Using dimensional methods, verify the co...

Using dimensional methods, verify the correctness of the following relations,
(i) `a= v^2//r , (ii) F= mr omega^2 , (iii) S.T. `= rhdg/2
In the above formulae 'r' stands for radius, 'm' for mass , `'omega'` for angular velocity , 'v' for linear velocity , 'h' for height , 'd' for density and S.T. for surface tension.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise VERY SHORT ANSWER TYPE QUESTIONS|24 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise NUMERICAL EXERCISE (LEVEL-1)|17 Videos
  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -3|66 Videos
  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos
  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

Check the correctness of the formula f = (mv^2)/(r^2) where f is force , m is mass , v is velocity and r is radius.

The linear velocity perpendicular to radius vector of a particle moving with angular velocity omega=2hatK at position vector r=2hati+2hatj is

A disc of radius R has linear velocity v and angular velocity omega as shown in the figure. Given upsilon=romega find velocity of point A, B, C and D on the disc.

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.

Differentiate the following w.r.t. x or t or u as the case may be: s= t^(2) ( t+1)^(-1)

In the figure shown omega = v/2R in terms of i and j find the linear velocities of particles M,N,R and S .

A stone of mass M tied at the end of a string, is moving in a circular of radius R, with a constant angular velocity omega . The work done on the stone, in any half circle I s

A disc has mass 'M" and radius 'R'. How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity omega in time 't'?

A disc of radius R is moving on a rough horizontal surface with velocity v and angular speed omega at an instant as shown in figure. Choose the correct statement.

A circular disc is rotating with an angular speed (in radian per sec) omega=2t^(2) given, CP=2m In terms of hati,hatj and hatk at t=1s find, (a). omega (b). alpha (c). linear velocity of the particle lying at P (d). linear acceleration of the particle lying P