The critical angular velocity `omega_c` of a cylinder inside another cylinder containing a liquid at which its turbulence occurs depends on viscosity `eta`, density `rho` and the distance d between the walls of the cylinders . Find an expression for `omega_c`.

The critical angular velocity w of a cylinder inside another cylinder containing a liquid at which its turbulence occurs depends on viscosity eta , density d and the distance x between the walls of the cylinders. Then w is proportional to

The critical angular velocity w of a cylinder inside another cylinder containing a liquid at which its turbulence occurs depends on viscosity eta , density d and the distance x between the walls of the cylinders. Then w is proportional to

The cirtical angular velocity omega_c of a cylinder inside another cylinder containing a liquied at which its turbulance occurs depends on visocisity eta density rho and disntac d between wall of the cylinder. Obtain an expression for omega_c using method of dimensios.

Assuming that the critical velocity of flow of a liquid through a narrow tube depends on the radius of the tube, density of the liquid and viscosity of the liquid, find an expression for critical velocity.

Two cylinders having radiii R_(1) and R_(2) and rotational inertia I_(1) and I_(2) respectively, are supported by fixed axes perpendicular to the plane of figure-5.52. The large cylinder is initially rotating with angular velocity omega_(0) . The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually, slipping ceases, and the two cylinders rotate at constant rates in opposite directions, (a) Find the final angular velocity omega_(2) of the small cylinder in terms of I_(1) , I_(2) , R_(1) , R_(2) and omega_(0) . (b) Is total angular momentum conserved in this case ?

The critical velocity v for a liquid depends upon (a) coefficient of viscosity eta (b) density of the liquid rho and © radius of the pipe r. Using dimensions derive an expression for the critical velocity.

A cylinder rests on a horizontal rotating disc, as shown in the figure. Find at what angular velocity, omega , the cylinder falls off the disc, if the distance between the axes of the disc and cylinder is R , and the coefficient of friction mugtD//h where D is the diameter of the cylinder and It is its height.