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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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