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7 July, 01:56

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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  1. 7 July, 02:56
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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
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