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8
student
yay
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volunteer
yay
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volunteer
can we go to the second?
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student
yes
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volunteer
the second one says we have to calculate the distance of the city from north pole
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volunteer
so look at the figure
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volunteer
we have to calculate the red arcdistance
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volunteer
can you guess how can we do it?
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student
not sure
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volunteer
no worries
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volunteer
we that formula that we used for the first question
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volunteer
theta*R
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volunteer
how can we calculate the theta for red?
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volunteer
we know north to eqador is 90 degrees
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student
to equator?
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volunteer
yup
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volunteer
north to equator
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student
90-19.43=70.57
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volunteer
perfect
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volunteer
now if we want to determine the distance what should we do?
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volunteer
you already know the theta
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student
70.57*pi/180*3960=4,877.448
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volunteer
yes
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student
I love this confetti
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volunteer
i love it toooo
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volunteer
you got the second one too Maya
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volunteer
yayyyy
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student
yay im writing this down
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volunteer
sure
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volunteer
i am here, take your time
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student
thanks. So for South Pole, do I add 90 to 19.43
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student
since it's different in the south
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volunteer
Exactly!
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volunteer
wow
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student
im cooking
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volunteer
you are so smart Maya
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[ { "pii_type": "PERSON", "surrogate": "Maya", "start": 17, "end": 21 } ]
student
lol thank you
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student
CONFETTI YAY
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volunteer
yaayyyyyy
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student
so 19.43*pi/180*3960=7,563.259
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volunteer
yup
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volunteer
perfect
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student
yay I wrote it down
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volunteer
yay
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volunteer
do you need help with anything else, Maya?
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student
can we do 3? the formulas are different there I'm pretty sure, and I haven't gotten them drilled into my head yet
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volunteer
sure sure
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student
the whole thing with revolutions and v
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volunteer
whats wr?
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student
linear velocity
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volunteer
oh okay
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student
v= 2pi/1 revolution 360 degrees/1 revolution
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volunteer
so do you know any formula related to this?
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student
v=rw
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student
I forgot what w is
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student
or w= theta/time
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volunteer
w is 2pi*N
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student
what's N
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volunteer
600 rpm
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volunteer
N = rotational speed
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student
oh I see
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volunteer
okay first we calculate w
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volunteer
can you try?
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student
yes hmmmm
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student
lowkey I'm not sure what to multiply because there are so many values
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volunteer
put the values
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volunteer
in this equation
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volunteer
here N = 600
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student
2*pi*600=3,769.911
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volunteer
yup
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volunteer
now by doing this
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volunteer
we have converted rpm to radians per min
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volunteer
next step is to follow v = rw formula
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volunteer
can you do it?
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volunteer
r is 9 ft , given in the question
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student
v= 9*5280
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student
9*5280=47,520
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volunteer
yup
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student
oh wow I was just plugging in hoping it's right
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volunteer
but
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volunteer
why did you do it?
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student
if the radius is 9, the w of angular speed can be plugged in radians per minute
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volunteer
but why?
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student
not exactly sure
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volunteer
see the problem says you have to and it with miles per hour unit
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volunteer
but radius is given in feet
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volunteer
not in miles
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student
so we're converting
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volunteer
yup
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volunteer
check one more time if you conversion is right
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volunteer
your*
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volunteer
we are converting ft to mile
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student
9 ft * 1 mile/5280ft
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volunteer
then we are dividing it 5280?
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volunteer
right?
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student
yes
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volunteer
yup
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volunteer
now plug it in with w
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volunteer
v = rw
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student
w= 600 revolution/min * 2pi/revolution= 1200pi/1 minute
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