Question

Express your weight in the units of pounds and newtons, and your mass in the units of slugs and kilograms.

Answer 1

The mass on the weighing scale is shown as 80 kg.

Therefore, the mass in the units of kilograms, m is 80 kgs.

 

Mass in the units of kilograms, m = 80 kgs.

 

From the table “Conversion factors between certain quantities in the USCS and SI” for mass the relationship between kilograms and slug as follows,

 

1 kg = 6.8522 × 10-2 slugs

 

Therefore, the mass

m = (80 kgs) × {(6.8522 × 10-2/1)(slugs/kg)}

     = 5.48176 slugs

 

Therefore, the mass in the units of slugs, m is 5.48176 slugs.

 

Weight (w) in newtons is found out by the following formula,

Weight, w = (m × g)

 

Here, g is the acceleration due to gravity and m is the mass

Substitute 80 kgs for m and 9.81 m/s2 for g

w = (80 × 9.81)

    = 784.8N

 

Therefore, the weight in the units of newtons, w is 784.8 N.

 

From the table “Conversion factors between certain quantities in the USCS and SI” for force the relationship between newtons and pounds as follows,

1 N = 0.22481 lb

 

Therefore, the weight

w = (784.8 N) × {(0.22481/1)(lb/N)}

    = 176.43 lb

 

Therefore, the weight in the units of pounds, w is 176.43 lb.

Therefore, the weight in the units of pounds, w is 176.43 lb.