The fuel tank on a car is d = 0.35 m tall. The fuel level in the tank is detected by a l= 0.695m arm that is free to rotate about a pivot at an upper fuel tank corner. It’s sensor end floats at the surface of the fuel as indicated in the diagram. Derive an expression for the sensor height , h, above the horizontal tank bottom as a function of L, D, and theta (the angle between the arm and the vertical tank). Use logic’s to deduce the angle thetafull in degrees associated with a full fuel tank, without preforming any calculations. Calculate the angle thetafull in degrees, associated with a half-full fuel tank. What angle thetaempty in degrees, is associated with an empty fuel tank?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The fuel tank on a car is d = 0.35 m tall. The fuel level in the tank is detected by a l= 0.695m arm that is free to rotate about a pivot at an upper fuel tank corner. It’s sensor end floats at the surface of the fuel as indicated in the diagram. Derive an expression for the sensor height , h, above the horizontal tank bottom as a function of L, D, and theta (the angle between the arm and the vertical tank). Use logic’s to deduce the angle thetafull in degrees associated with a full fuel tank, without preforming any calculations. Calculate the angle thetafull in degrees, associated with a half-full fuel tank. What angle thetaempty in degrees, is associated with an empty fuel tank?
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