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anonymous
 one year ago
A figure skater along a circular path of radius 5 m. If she coasts around one half of the circle, find (a) the magnitude of the displacement vector and (b) what distance she skated? (c) What is the magnitude of the displacement if she skates all the way around the circle?
anonymous
 one year ago
A figure skater along a circular path of radius 5 m. If she coasts around one half of the circle, find (a) the magnitude of the displacement vector and (b) what distance she skated? (c) What is the magnitude of the displacement if she skates all the way around the circle?

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you know what is the difference between the "magnitude of the displacement vector" and "the actual distance skated" (parts a and b)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Magnitude of displacement is the straight line distance from the beginning of a path to the end of the path. What is the length of the straight line drawn from the beginning position to a point half way around the circle?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438648778741:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 as far as I know, part b is half circumference of a circle (?) and a i don't know hehe

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In other words, part a is the diameter of the circle, part b is the halfcircumference of the circle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1For part c, she goes one full circle. She ends up where she started, so the magnitude of the displacement vector is zero. The distance is the circumference.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ospreytriple the half part of a circle is 5 m therefore, 2r=10 (?)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ospreytriple Thanks :)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Part a: diameter = 2r Part b: half circumference = pi * r Part c: magnitude = 0; distance = circumference = 2*pi*r

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For the second question you need to calculate the actual length of the path. So it is half of the circumference of the circle. Can you calculate that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 Thanks :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ospreytriple I answered: 1/2 x 2 x pi x r therefore: 78.57 (?)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.11/2 * 2 * pi * r = pi * r = 3.14 * 5 m How do you get such a large number?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 1/2 x 2 x 22/7 x 5 x 5 hehe I don't know (?)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The radius, r, is not squared for the circumference. It is only squared for the area.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438649386383:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 okay thanks :) So the final answer is 15.7 (?)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438649464150:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. That is the answer for part b.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 Thank you so much ^_^

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Then for part c you need to do the same two things you did for parts a and b, but now for a full circle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438649568860:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I get it. So for part c the answer is zero (?)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The figure above is for part c.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Part c has two parts. First, the magnitude of the distance vector is zero. Then the second part of part c is the distance traveled. That is the full circumference, so take your answer before, 15.7 m (half a circumference), and multiply it by 2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 Thanks :)
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