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yulyashka [42]
3 years ago
15

A jogger is going around a circular track with a radius of 100 ft. Determine the

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

Answer:

ω= 0.01 rad/s

Step-by-step explanation:

The given data is question is ,

  • r = 100ft .
  • t = 3 min = 180s.

Firstly let's find the linear speed. Which is

=> v = Circumference/time

=> v = 2πr/180s

=> v = 3.14 × 100ft ./ 90

=> v = 3.48 ft/s ≈ 1m/s

  • Now the angular speed and linear speed are related as follows ,

=> v = r\omega

=> \omega = v/r

=> \omega = 1/100

=> \omega = 0.01 rad/s

<h3><u>Hence </u><u>the</u><u> </u><u>angular</u><u> speed</u><u> </u><u>is </u><u>0</u><u>.</u><u>0</u><u>1</u><u> </u><u>rad/</u><u>s.</u></h3>
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