Question
Question: A tank of base area 4 m<sup>2</sup> is initially filled with water up to height 2 m. An object of un...
A tank of base area 4 m2 is initially filled with water up to height 2 m. An object of uniform cross-section 2 m2 and height 1 m is now suspended by wire into the tank, keeping distance between base of tank and that of object 1 m. Density of the object is 2000kg/m3. Take atmospheric pressure 1 × 105N/m2; g = 10 m/s2
The tension in the wire is:
A
(a) 0.1 × 105N
A
(b) 0.2 × 105N
A
(c) 0.3 × 105N
A
(d) 0.4 × 105N
Explanation
Solution
(b)
By F.B.D.T + P2A = mg + P1A
T = mg + (P1 - P2) A = mg-(P2-P1)A
= 2 × 2000 × 10-(.2 × 105) = .4 × 105-0.2 × 105 = 0.2 × 105N