(13%) Problem 4: Special sections of roadway are sometimes paved with rumble strips to alert inattentive...
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(13%) Problem 4: Special sections of roadway are sometimes paved with "rumble strips" to alert inattentive drivers. In a particular case the grooves are spaced L = 0.25 m apart and the depth of each groove is d = 0.45 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 59 Hz. Refer to the figure, which is not drawn to scale. d L wwwwwwwwwwwwwwwwwww wwwwwwwwww Otheexpertta.com 33% Part (a) Enter an expression that describes the vertical position, y(t), of one of the car tires as a function of time, t, in terms of the defined quantities. Assume the motion is sinusoidal, with its argument in radians and the positive y-axis up. Take the tire's equilibrium position as y = 0 and take y(0) = 0 and increasing. = v(t)-dsin(2x ft) Correct! 33% Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.3 seconds. y(t) = 0.1910 cm X Attempts Remain A 33% Part (c) With your tire oscillating at a frequency of = 59 hertz and the distance between grooves L = 0.25 m, what is the speed of your car, in kilometers per hour? v= Grade Summary Deductions km/h sin() cotan() cos() tan() ) 7 8 9 HOME asin() acos() EMN4 5 6 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() + 0 Degrees Radians VO BACKSPACE DEL END CLEAR Submit Hint Feedback I give up! Potential 0% 100% Submissions Attempts remaining: (0% per attempt) detailed view (13%) Problem 4: Special sections of roadway are sometimes paved with "rumble strips" to alert inattentive drivers. In a particular case the grooves are spaced L = 0.25 m apart and the depth of each groove is d = 0.45 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 59 Hz. Refer to the figure, which is not drawn to scale. d L wwwwwwwwwwwwwwwwwww wwwwwwwwww Otheexpertta.com 33% Part (a) Enter an expression that describes the vertical position, y(t), of one of the car tires as a function of time, t, in terms of the defined quantities. Assume the motion is sinusoidal, with its argument in radians and the positive y-axis up. Take the tire's equilibrium position as y = 0 and take y(0) = 0 and increasing. = v(t)-dsin(2x ft) Correct! 33% Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.3 seconds. y(t) = 0.1910 cm X Attempts Remain A 33% Part (c) With your tire oscillating at a frequency of = 59 hertz and the distance between grooves L = 0.25 m, what is the speed of your car, in kilometers per hour? v= Grade Summary Deductions km/h sin() cotan() cos() tan() ) 7 8 9 HOME asin() acos() EMN4 5 6 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() + 0 Degrees Radians VO BACKSPACE DEL END CLEAR Submit Hint Feedback I give up! Potential 0% 100% Submissions Attempts remaining: (0% per attempt) detailed view
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