1. The density of water is 1000 kg/m 3 . Compared to this, the density of air at
ID: 2302517 • Letter: 1
Question
1. The density of water is 1000 kg/m3. Compared to this, the density of air at sea level is
approximately 1000 times less.
approximately 100 times less.
approximately 10 times less.
about the same.
2. What is the gauge pressure at the bottom of a 5 feet deep swimming pool? (Answer in Pa)
3.You are given the task to determine the volume of an irregular shaped object. You hang it on a scale and measure its weight to be 34 N. When you submerge it in a bath of water, the scale reading changes to 15 N. What is the object's volume? (provide your answer in cm^3)
approximately 1000 times less.
approximately 100 times less.
approximately 10 times less.
about the same.
Explanation / Answer
1)
the density of air = 1.225 Kg/m^3
which is approximately 1000 times less than water
2)
guage pressure in this care is the pressure excerted my the water above that point and neglecting the pressure do to atmospheric air
so guage pressure = rho * g * h
= 1000*9.81*(5*12*2.54/100)
= 14950.44 Pa
3)
the bouyant force exceted on the irregular body is the weight of liquid displaced by it
which is equal to the volume of the object * density of the liguid * acceleration due to gravity
density of liquid = 1000 Kg/m^3
so the buoyant force = weight in air - weight in water = 34 - 15 = 19 N
so 19 = v*1000*9.81
V = 1.936799*10^(-3) m^3
V=1936.799 cm^3
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