Question 456607: In front of the antique sewing machine museum in arlington, texas, the largest sewing machine in the world, the flywheel, which turns as the machine sews, is 5 feet long in diameter. Write a model for the height, h (in feet), of the handle on the flywheel as a function of the time, t (in seconds), assuming that the wheel makes a complete revolution every 2 seconds and that the handle starts at its minimum height of 4 feet above the ground.
please help. Iv'e been doing sine and cosine in class.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In front of the antique sewing machine museum in arlington, texas, the largest sewing machine in the world, the flywheel, which turns as the machine sews, is 5 feet long in diameter.
Amplitude = 2.5 ft
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Write a model for the height, h (in feet), of the handle on the flywheel as a function of the time, t (in seconds), assuming that the wheel makes a complete revolution every 2 seconds
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Period = (2pi)/b = 2
b = pi
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and that the handle starts at its minimum height of 4 feet above the ground.
Vertical shift of 6.5 ft.
Horizontal shift of -pi/2
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Equation: y = 2.5sin(pi(x)-(pi/2)) + 6.5
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Cheers,
Stan H.
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