The CGS system of units was once commonly used in science Wh

The CGS system of units was once commonly used in science. What is the unit of force in the CGS system? Find the conversion factor between this unit and a Newton. Find the conversion factor between this unit and a lb_r.

Solution

1) 1 dyne , is the unit of force in CGS system .

2) 1 dyne = 1gm.cm/sec^2

                  = 10^-3 kg . 10^-2 m / sec ^2

                  = 10^-5 . kg.m / sec^2

                1 dyne = 10^-5 Newton .

2) lbf is the force due to gravity on 1 pound of mass

        lbf = 1 lbm x 9.8066 m /sec^2

               = 0.4535 kg x 9.8066 m /sec^2

              = 4.4482216 N

we had already solved for conversion factor for 1 N = 10^5 dyne

            lbf = 4.44822 * 10^5 dyne

                  = 444822.16 dyne

or 1 dyne = (1/444822 ) lbf