## Find the dimensions of G. An astronomer proposes a model in which the lifetime, t, of a star depends on a product of powers of its mass, m, its initial radius r0, G and a dimensionless constant. ii) Use the method of dimensions to find the resulting formula for t.

The magnitude of the force of gravitational attraction, F, between two objects of mass m1 and m2 at a distance d apart is given by where G is the universal constant of gravitation.
i) Find the dimensions of G. An astronomer proposes a model in which the lifetime, t, of a star depends on a product of powers of its mass, m, its initial radius r0, G and a dimensionless constant. ii) Use the method of dimensions to find the resulting formula for t. Observation shows that the larger the initial radius the longer the lifetime of the star, but that the larger the mass the shorter the lifetime of the star.
iii) Is the model consistent with these observations?
iv) Show that the model can be expressed more simply if the initial density, p0, of the star is used as one of the variables.

### In Problem 5.13.1, what throughputs can be achieved when pumping gasoline alone?

In Problem 5.13.1, what throughputs can be achieved when pumping gasoline alone? Use a specific gravity of 0.74 and viscosity of 0.65 for gasoline at the flowing temperature. Compare the….

### A pipeline 150 miles long from Beaumont pump station to a tank farm at Glendale is used to transport Alaskan North Slope crude oil (ANS crude).

A pipeline 150 miles long from Beaumont pump station to a tank farm at Glendale is used to transport Alaskan North Slope crude oil (ANS crude). The pipe is 20….

### The pipeline described in Problem 6.7.1 is used to batch ANS crude along with a light crude (0.85 specific gravity and 15 cSt viscosity at 60°F). Determine the optimum batch sizes to reduce pumping costs based on a 30 day operation. Consider a flow rate of 6000 bbl/hr.

The pipeline described in Problem 6.7.1 is used to batch ANS crude along with a light crude (0.85 specific gravity and 15 cSt viscosity at 60°F). Determine the optimum batch….