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Answer to Question #983 in Mechanics | Relativity for brian

Question #983
A young boy swings a yo-yo horizontally above his head so that the yo-yo has a centripetal acceleration of 240 m/s2. If the yo-yo’s string is 0.56 m long, what is the yo-yo’s tangential speed?
Expert's answer
By the equations of the rotational motion:
a= ω2 R ; v=ω*R
ω = √(a/R) = √(240/0.56) = 20.7
Thus the linear speed would be
v = 20.7* 0.56 = 11.6 m/s

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