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The critical celocity v of a body depends on the coefficient of viscocity the density d and radius of the drop r. if K is a dimensiinless constant then v is eual to?
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Calculation of Critical Velocity v
- The critical velocity v of a body can be calculated using the formula:
v = K * (r^2 * d) / η

Explanation of the Formula
- In the formula, K is a dimensionless constant, r is the radius of the drop, d is the density of the fluid, and η is the coefficient of viscosity.
- The critical velocity v is directly proportional to the square of the radius of the drop (r^2) and the density of the fluid (d), and inversely proportional to the coefficient of viscosity (η).
- The dimensionless constant K is used to adjust the units of the variables to ensure that the formula yields the correct units for velocity.

Example
- For example, if the radius of the drop is 0.1 m, the density of the fluid is 1000 kg/m^3, the coefficient of viscosity is 0.01 Ns/m^2, and the constant K is 2, then the critical velocity v can be calculated as:
v = 2 * (0.1^2 * 1000) / 0.01
v = 2 * 100 / 0.01
v = 2000 m/s
- Therefore, in this example, the critical velocity of the body would be 2000 m/s.
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