A 1.0 kg mass is attached to the end of a 1.00 m long string and swung in a horizontal circle. If the mass completes one cycle in 0.42 s, the speed of the mass is

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15-08-2014
Physics

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A 1.0 kg mass is attached to the end of a 1.00 m long string and swung in a horizontal circle. If the mass completes one cycle in 0.42 s, the speed of the mass is

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Everest2017 Everest2017 · Answer 1 · 2014-08-16T07:19:22-04:00

Since the mass is moving in a horizontal circle, we do not look at gravity, tension in string or weight of the mass.

Time period for one cycle around circle = T = 0.42 seconds

Tangential Velocity or speed of the mass =
   tangential distance traveled in 1 cycle or revolution / time period
      = circumference of circle / time period
   = 2 π radius / T = 2 π 1 meter / 0.42 sec
   = 14.96 m/s