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A cowboy spins a lasso in an approximately circular shape, with a starting circumference of 10 feet. The force on the rope pulls it through the slip-knot so that the circle's circumference decreases by 1 foot per second. 2 Part A: Determine a formula that describes the lasso's circumference, in feet, t seconds after the cowboy starts spinning it. C Part B: After how long will the lasso's circle vanish? Answer: seconds Part C: The circumference of a circle is also C = 2mr. Use this formula to give the radius of the circle as a function of time.

A cowboy spins a lasso in an approximately circular shape, with a starting circumference of 10 feet. The force on the rope pulls it through the slip-knot so that the circle's circumference decreases by 1 foot per second. 2 Part A: Determine a formula that describes the lasso's circumference, in feet, t seconds after the cowboy starts spinning it. C Part B: After how long will the lasso's circle vanish? Answer: seconds Part C: The circumference of a circle is also C = 2mr. Use this formula to give the radius of the circle as a function of time.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A cowboy spins a lasso in an approximately circular shape, with a starting circumference of 10 feet. The force on the rope pulls it through the slip-knot so that the circle's circumference decreases by 1 foot per second. 2 Part A: Determine a formula that describes the lasso's circumference, in feet, t seconds after the cowboy starts spinning it. C= Part B: After how long will the lasso's circle vanish? seconds Answer: Part C: The circumference of a circle is also C = 2mr. Use this formula to give the radius of the circle as a function of time. T Part D: Using the circumference formula developed in Part A, determine the rate of change of the AC circumference of the lasso, At Answer: ft/s Part E: Using the radius formula developed in Part C, give the rate of change for radius, Answer: ft/s Ar At
Transcribed Image Text:A cowboy spins a lasso in an approximately circular shape, with a starting circumference of 10 feet. The force on the rope pulls it through the slip-knot so that the circle's circumference decreases by 1 foot per second. 2 Part A: Determine a formula that describes the lasso's circumference, in feet, t seconds after the cowboy starts spinning it. C= Part B: After how long will the lasso's circle vanish? seconds Answer: Part C: The circumference of a circle is also C = 2mr. Use this formula to give the radius of the circle as a function of time. T Part D: Using the circumference formula developed in Part A, determine the rate of change of the AC circumference of the lasso, At Answer: ft/s Part E: Using the radius formula developed in Part C, give the rate of change for radius, Answer: ft/s Ar At
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