1. A 75 kg person's density changed percent change in volume. SAQ from 970 kg/m³ to 990 kg/m³. Calculate the person's

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Chapter1: Units, Trigonometry. And Vectors
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J. If the radius of a pipe narrows to half of its original size, what is the ratio of the flow
speed in the narrow section to that in the wide section, assuming the same flow rate?
Solution:
V₁ = speed in narrow section
V2 = speed in wide section
A1 V₁ = A2 V2
V₁/V₂ = A₂/A1 = π (r/2)²/nr²
V1/V2 = 14
SAQ
1.
A 75 kg person's density changed from 970 kg/m³ to 990 kg/m³. Calculate the person's
percent change in volume.
2.
A 4 kg mass is supported by a copper wire of length 1.5 m and diameter of 2 mm. How
much will the wire be stretched? Young Modulus for copper is 11 x 10 10 N/m².
3.
If the radius of a pipe narrows to one-fourth of its original size, what is the ratio of the
flow speed in the narrow section to that of the wide section, assuming the same flow rate.
What is the pressure at the bottom of the swimming pool & feet deep that is filled with
fresh water. Density of fresh water is 1000 kg/m³.
4.
5.
Archimedes found that the King's crown had a mass of 770 g and a volume of 3.98x10-5
m³. Was the crown pure gold?
ULIKE
Transcribed Image Text:J. If the radius of a pipe narrows to half of its original size, what is the ratio of the flow speed in the narrow section to that in the wide section, assuming the same flow rate? Solution: V₁ = speed in narrow section V2 = speed in wide section A1 V₁ = A2 V2 V₁/V₂ = A₂/A1 = π (r/2)²/nr² V1/V2 = 14 SAQ 1. A 75 kg person's density changed from 970 kg/m³ to 990 kg/m³. Calculate the person's percent change in volume. 2. A 4 kg mass is supported by a copper wire of length 1.5 m and diameter of 2 mm. How much will the wire be stretched? Young Modulus for copper is 11 x 10 10 N/m². 3. If the radius of a pipe narrows to one-fourth of its original size, what is the ratio of the flow speed in the narrow section to that of the wide section, assuming the same flow rate. What is the pressure at the bottom of the swimming pool & feet deep that is filled with fresh water. Density of fresh water is 1000 kg/m³. 4. 5. Archimedes found that the King's crown had a mass of 770 g and a volume of 3.98x10-5 m³. Was the crown pure gold? ULIKE
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