(sat prep) the rays

om

,

on

, and

op

in the figure, coincide...

Mathematics, 03.12.2019 03:15 genyjoannerubiera

# (sat prep) the rays

om

,

on

, and

op

in the figure, coincide at time t=0. at the same instant of time

om

and

op

rotate in the plane about point o in opposite directions while

on

remains fixed. with respect to

on

, segment

om

rotates at constant rate of 3° per second and

op

, at 6° per second. what is the smallest positive value of t, in seconds, for which segments

om

and

op

will coincide? when t=30 min, how many more revolutions does segment

op

complete than segment

om

?

keep working and you will earn half credit for correctly solved problem.

answer:

t =

sec. segment

op

does

revolutions more than segment

om

.

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