SOLUTION: Point P passes through a central angle θ in time t as it travels around a circle. Find its exact angular velocity in radians per unit time. θ = 370°; t = 9 min

Algebra ->  Test -> SOLUTION: Point P passes through a central angle θ in time t as it travels around a circle. Find its exact angular velocity in radians per unit time. θ = 370°; t = 9 min       Log On


   

Question 1093420: Point P passes through a central angle θ in time t as it travels around a circle. Find its exact angular velocity in radians per unit time.
θ = 370°; t = 9 min
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+360+ degrees = +2pi+ radians
+10%2F360+=+x%2F%282pi%29+
+1%2F36+=+x%2F%282pi%29+
+x+=+pi%2F18+
----------------
The angular velocity is
+%28+2pi+%2B+pi%2F18+%29+%2F+9+
+%28+%2837%2F18%29%2Api+%29+%2F+9+
+%2837%2F162+%29%2Api+ radians/min
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check the math