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An object is traveling around a circle with a radius of 6 inches. If in 30 seconds a central angle of 1/6 radians is swept out, what are the linear and angular speeds of the object?
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An object is traveling around a circle with a radius of 6 inches. If in 30 seconds a central angle of 1/6 radians is swept out, what are the linear and angular speeds of the object?

User SpaceX
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1 Answer

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RdΘ/dt = v
dΘ/dt = (1/3)/20 = 1/60 rad/sec
5(1/60 ) = 5/60 cm/sec = 1/12 cm/sec

Angular Speed = dΘ/dt = 1/60 rad/sec
Linear Speed = RdΘ/dt = 1/12 cm/sec
User Ray Salemi
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