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Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
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The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
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In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
