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tbryan22 tbryan22
  • 21-02-2017
  • Mathematics
Answered

What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet?

Verified Answer :

soph1sike1sof
soph1sike1sof soph1sike1sof
  • 21-02-2017

First find the central angle A in degree.
Perimeter circle 2PiR --> 360 deg
Arc A = 14.13 --> x deg
(36014.13)/2Pi*R = 5086.8/37.68 = 135 deg
The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec.

Hope this helps!

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