a)what is the tension in the string? B) assuming that the oil and water are each

Question

a)what is the tension in the string?

B) assuming that the oil and water are each 20 cm deep, what is the gauge pressure at the interface of the oil and water?

Problem 1 (15 points): An aluminum block with density 2700 kg/m in the form of a cube with edges 0.14 m long is suspended by a string in a container filled partially with an oil that has a density of 790 kg/m' and partially with water (1000 kg/m) 65% of the block is in water, and 35% is in oil. Note: Standard atmospheric pressure is 1.01 x 103 N/m2 Please answer each of the following questions. a) What is the tension in the string? b) Assuming that the oil and water are cach 20 cm deep, what is the gauge pressure at the interface of the oil and water

Explanation / Answer

given

rhoa = 2700 kg/m^3

a = 0.14 m

rhoo = 790 kg/m^3

rhow = 1000 kg/m^3

a. let tension in the string be T

then buoyant force = B

B = a^3[rhoo*0.35 + rhow*0.65]*g

B = 24.94011996 N

hecne T - rhoa*a^3*g + B = 0

T = 47.74020804 N

b. assiming oil and water both are d = 20 cm deep

gauge pressure at the interface = rhoo*g*d

Pg = 1549.98 Pa

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.