Question

how to convert the value of Universal gravitational constant to FPS system?​

Answer 1

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We start by using the BE unit for mass: the SLUG.

1) A one slug mass weighs 32 lbs on Earth.

2) The mass of the Earth is 4.1 E 23 Slugs

3) 3.28 ft = 1 m; then the Radius of the Earth is

R = 2.1 E 7 ft

4) Weight is measure of the force of gravity which = G M (1) M (2) / R^2

Then: 32 = G [(4.1 E 23) (1) / (2.1 E 7)^2

This gives us a value for G in BE Units.

G = 3.44 E - 8 POUNDS-(feet-squared)/SLUG-squared

We could use the symbol sg for slug.

Then G = 3.44 E - 8 lbs-(ft)^2 /(sg)^2 QED