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Dermani Dermani
  • 15-02-2017
  • Mathematics
Answered

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is /

radians per second.


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Verified Answer :

catrionac
catrionac catrionac
  • 15-02-2017

Length of circular track is:

L = 2rpi

He run 3/4 of it so length is:
L' = 32/4rpi = 3/2rpi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = 3
rpi/2105

v = r* pi/70

If we take that r = 1
 
answer
\(\pi /70\)

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