The fuel tank in a car is basically a rectangular box with a length of 0. 8 m, a

Question

The fuel tank in a car is basically a rectangular box with a length of 0. 8 m, a width of 0. 5 m and a height of 0. 4 m. The tank is mounted horizontally in the car with the long side being parallel to the axis of the rear axle. a fuel level sensor is positioned 0. 05 m above the bottom face and 0. 2 m from the front face of the tank. When the fuel level drops below the sensor, a warning light comes on. assuming that the level in the tank is 0. 06 m above the bottom when the car is stationary, determine the linear acceleration of the car when the light just comes on. The density of the fuel is 700 kg/m3.

Explanation / Answer

In accelerated motion, The pressure on the back wall = mass * acceleration = L*W*h(given = 0.06) *density *a = 0.8*0.5*0.06 * density * a = 0.024 * density * a Volume initially and finally remains same, 0.06 * 0.5 * L * density = L * density * (0.05 + h1) * 0.5 /2 h1 = 0.07 m So, height above the indicator level = 0.02 Pressure = density * g * (0.02*0.02) /2 + density * g * (0.02 * 0.05) = density * g * 1.2 * 10^-3 Pressure = mass * acceleration g * 1.2 * 10^-3 = 0.024 a a = g/20 m/s2 [ g = acceleration due to gravity]

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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