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A sling with a length of 60 cm does 6 rotations per second. What is the...

A sling with a length of 60 cm does 6 rotations per second. What is the speed that the stone at the end of the sling is travelling?

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Answer #1

Given,

Length of the sling,

The number of rotations made by the sling in one second = 6

The total angle made by the sling in one-second,

Since the angle made by the sling in one second is 37.68 radians hence the angular speed of the stone is 37.68 rad/s.

Now, from the relation of angular speed and linear speed,

where is angular speed, v is linear speed and r is the length of the sling.

  

Hence the linear speed of the stone is 22.608 m/s.

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