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 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'.
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 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'.
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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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