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Home/ Questions/While working on her bike, Amanita turns it upside down and gives the front wheel a...
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Asked: April 13, 20222022-04-13T07:11:34+00:00 2022-04-13T07:11:34+00:00In: Science

While working on her bike, Amanita turns it upside down and gives the front wheel a…

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While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds.During this portion of the motion, she records the x and y positions and velocities, as well as the angular position and angular velocity, for the point on the rimdesignated by the yellow-orange dot in the figure. (Intro 1 figure) Let the origin of the coordinate system be at the center of the wheel, the positive x direction to the right, the positive y position up, and the positive angular position counterclockwise. The graphs (Intro 2 figure) begin when the point is at the indicatedposition. One graph may be the correct answer to more than one part.

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♦ Relevant knowledge

The angular speed can be described as the ratio between the changes in angular displacement with respect to the time. The velocity of the angular axis is a vector value that is dependent on the magnitude of the change in is the direction that the displacement of the angular.

 

angularcounterclockwise
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    Joanne O'Brien
    2022-04-13T07:11:36+00:00Added an answer on April 13, 2022 at 7:11 am
    Concepts and Reason

    This question is based upon the concept of periodic motion.

    Periodic motion refers to a motion which repeats itself after a set time period. These are distinguished by periodic functions such as [katex]\sin [/katex]

    Fundamentals

    Angul velocity refers to the rate at which angular displacement changes.

    [katex]\omega = \frac{{{\rm{Angular displacement}}}}{{{\rm{time}}}}[/katex]

    The entire circular motion of an object is periodic if it moves at constant speed. After each complete rotation, the object returns to its original position. The object’s position along [katex]x{\rm{ }}[/katex]

    (a)  Coordinate system should be in the center of the wheel. The positive [katex]x{\rm{ }}[/katex]

    The graph [katex]F[/katex]

    (b) The angular position at which a body stars with time is located is.

    [katex]\theta = \omega t[/katex]

    Angular velocity [katex]\omega [/katex]

    [katex]\theta \propto t[/katex]

    The graph [katex]A[/katex]

    (c) The motion along [katex]y[/katex]

    At [katex]t = 0[/katex]

    After [katex]t = 0[/katex]

    (d) Velocity [katex]v[/katex]

    [katex]\omega = \frac{v}{r}[/katex]

    The angle velocity is also constant. The wheel spins anticlockwise. The angular displacement, which is positive, increases at a constant rate according to the angular velocity. The graph should have a straight line and a positive slope. Because velocity is constant, angular velocity is also constant. Ans: Part A

    The graph [katex]F[/katex]

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