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An automobile tire is filled completely with water. The tire is mounted on an axle so that the tire is in a vertical plane. How does the pressure vary inside the tire with (a) no additional force applied; (b) a strong force pushing up on the bottom of the tire; (c) a strong force pushing down on the top of the tire? (A) The pressure is significantly greater at the top. (B) The pressure is approximately the same everywhere. (C) The pressure is significantly greater at the bottom. (D) The pressure variation cannot be determined without more information.

An automobile tire is filled completely with water. The tire is mounted on an axle so that the tire is in a vertical plane. How does the pressure vary inside the tire with (a) no additional force applied; (b) a strong force pushing up on the bottom of the tire; (c) a strong force pushing down on the top of the tire?
(A) The pressure is significantly greater at the top.
(B) The pressure is approximately the same everywhere.
(C) The pressure is significantly greater at the bottom.
(D) The pressure variation cannot be determined without more information.

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago
(a) The correct option is (B).
The automobile tire filled with water is nowhere exposed to the atmosphere. It is also given that no additional force is applied on the tire which mounted vertically. This means the pressure at any point on the water inside the tire will remain same. Therefore, option (B) is correct.
(b) The correct option is (C).
It is given that a strong force is pushing up the water on the bottom of the tire. The pressure on the water is directly proportional to the force acting normally. Thus, the pressure of the water will be significantly higher at the bottom of the tire. Therefore, option (C) is correct.
(c) The correct option is (A).
It is given that a strong force is down the water on the top of the tire. The pressure on the water is directly proportional to the force acting normally. Thus, the pressure of the water will be significantly higher at the top of the tire. Therefore, option (A) is correct.

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