(3%) Problem 13: The fuel tank on a car has a depth d= 0.307 m. The...

 

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(3%) Problem 13: The fuel tank on a car has a depth d= 0.307 m. The fuel level in the tank is detected by a sensor at the end of an arm with length L = 0.608 m. The arm is free to rotate about a pivot at an upper corner of the fuel tank. The angle between the arm and the vertical is 0, as indicated in the drawing. A 25% Part (a) Derive an expression for the sensor height, h, above the horizontal tank bottom as a function of L, d and 0. h = Grade Summary Deductions Potential cos(a) cos(Q) cos(0) (D) sin(a) sin(Q) sin(0) 4 tan(0) d L m B09 g h t 1 * + - VO BACKSPACE 741 852 963 HOME - 7 0 END . DEL CLEAR Submissions 0% 100% Attempts remaining: 999 (0% per attempt) detailed view Submit Hints: 0% deduction per hint. Hints remaining: 4 Hint Feedback I give up! Feedback: 0% deduction per feedback. 25% Part (b) Use logic to deduce the value, in degrees, of the angle & when the fuel tank is full. No computation is required. 90.00 25% Part (c) Calculate the angle, in degrees, associated with a half-full fuel tank. 25% Part (d) Note that the arm is longer than the tank is deep, L> d. What angle, in degrees, is associated with an empty fuel tank? (3%) Problem 13: The fuel tank on a car has a depth d= 0.307 m. The fuel level in the tank is detected by a sensor at the end of an arm with length L = 0.608 m. The arm is free to rotate about a pivot at an upper corner of the fuel tank. The angle between the arm and the vertical is 0, as indicated in the drawing. A 25% Part (a) Derive an expression for the sensor height, h, above the horizontal tank bottom as a function of L, d and 0. h = Grade Summary Deductions Potential cos(a) cos(Q) cos(0) (D) sin(a) sin(Q) sin(0) 4 tan(0) d L m B09 g h t 1 * + - VO BACKSPACE 741 852 963 HOME - 7 0 END . DEL CLEAR Submissions 0% 100% Attempts remaining: 999 (0% per attempt) detailed view Submit Hints: 0% deduction per hint. Hints remaining: 4 Hint Feedback I give up! Feedback: 0% deduction per feedback. 25% Part (b) Use logic to deduce the value, in degrees, of the angle & when the fuel tank is full. No computation is required. 90.00 25% Part (c) Calculate the angle, in degrees, associated with a half-full fuel tank. 25% Part (d) Note that the arm is longer than the tank is deep, L> d. What angle, in degrees, is associated with an empty fuel tank?