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r(t) := R-cos(wt)-i + R-sin(wt)-j where R and w are constant (a) What are the Sl unts for "R" and "w" ? (note the argument of the cosine and sine must be dimensionless) (b) Find the Velocity of the object (c)Find the MAGNITUDE of the VELOCITY expressed in terms of "R" and 'w'. (d) Find the Acceleration of the object (e) Find the MAGNITUDE of the Acceleration expressed in terms of "R" and 'w' (f) Make a graph of the particle's "orbit" equation by making a plot of the y-position vs x-postion for the following times. Assume R=1"units as answered in part (a)" to = Os ti -1 0.785 w -1 t2 = 1.571 w 1 t3 = 2.356w %3D 1 -1 t6 = 4.712 w 1 t4 = 3.142 w t5 = 3.927w1 7 = 7-w You can use Excel or a math program to make graph or you can do by hand (g) Based on the answers to the above questions, what type of motion in the particle perfomring?

r(t) := R-cos(wt)-i + R-sin(wt)-j where R and w are constant (a) What are the Sl unts for "R" and "w" ? (note the argument of the cosine and sine must be dimensionless) (b) Find the Velocity of the object (c)Find the MAGNITUDE of the VELOCITY expressed in terms of "R" and 'w'. (d) Find the Acceleration of the object (e) Find the MAGNITUDE of the Acceleration expressed in terms of "R" and 'w' (f) Make a graph of the particle's "orbit" equation by making a plot of the y-position vs x-postion for the following times. Assume R=1"units as answered in part (a)" to = Os ti -1 0.785 w -1 t2 = 1.571 w 1 t3 = 2.356w %3D 1 -1 t6 = 4.712 w 1 t4 = 3.142 w t5 = 3.927w1 7 = 7-w You can use Excel or a math program to make graph or you can do by hand (g) Based on the answers to the above questions, what type of motion in the particle perfomring?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The postion vector of a particle is given by r(t) := R.cos(wt) i + R sin(wt)-j where R and w are constant, (a) What are the SI unts for "R" and "w" ? (note the argument of the cosine and sine must be dimensionless) (b) Find the Velocity of the object (c)Find the MAGNITUDE of the VELOCITY expressed in terms of "R" and 'w'. (d) Find the Acceleration of the object (e) Find the MAGNITUDE of the Acceleration expressed in terms of "R" and 'w' (f) Make a graph of the particle's "orbit" equation by making a plot of the y-position vs x-postion for the following times. Assume R=1"units as answered in part (a)" 1 t2 = 1.571 w - 1 to = 0s ti = 0.785 w t3 = 2.356 w -1 1 1 t4 = 3.142 w t5 = 3.927 w t6 = 4.712 w You can use Excel or a math program to make graph or you can do by hand (g) Based on the answers to the above questions, what type of motion in the particle perfomring?
Transcribed Image Text:The postion vector of a particle is given by r(t) := R.cos(wt) i + R sin(wt)-j where R and w are constant, (a) What are the SI unts for "R" and "w" ? (note the argument of the cosine and sine must be dimensionless) (b) Find the Velocity of the object (c)Find the MAGNITUDE of the VELOCITY expressed in terms of "R" and 'w'. (d) Find the Acceleration of the object (e) Find the MAGNITUDE of the Acceleration expressed in terms of "R" and 'w' (f) Make a graph of the particle's "orbit" equation by making a plot of the y-position vs x-postion for the following times. Assume R=1"units as answered in part (a)" 1 t2 = 1.571 w - 1 to = 0s ti = 0.785 w t3 = 2.356 w -1 1 1 t4 = 3.142 w t5 = 3.927 w t6 = 4.712 w You can use Excel or a math program to make graph or you can do by hand (g) Based on the answers to the above questions, what type of motion in the particle perfomring?
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