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A poundal is the force required to accelerate a mass of 1 lb,m (pound mass) at a rate of 1 ft/s^2. 1 poundal 1 lb,m*ft/(s^2) Calculate the weight in poundals of an 148 lb,m object on Earth

Respuesta :

Explanation:

According to Newtons second law,

                         F = m × a

where,       F = force acting on object

                  m = mass of object

                  a = acceleration

On Earth,       a = g

where,      g = gravitational acceleration constant = 9.8 [tex]m/sec^{2}[/tex]

Now, convert g into [tex]ft/sec^{2}[/tex] as follows.

                    1 m = 3.280 ft

           g = [tex]9.8 m/s^{2} \times 3.280 ft/m[/tex]

              = 32.144 [tex]ft/s^{2}[/tex]

It is given that m = 148 lbm. Hence, calculate force as follows.

                     F = [tex]148 lbm \times 32.144 ft/s^{2}[/tex]

                        = 4757.312 [tex]lbm.ft/s^{2}[/tex]

                        = 4757.312 poundal

Thus, we can conclude that the weight in poundals of an 148 lbm object on Earth is 4757.312 poundal.