How Do You Calculate the Speed of a Stone in a Sling?

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To calculate the speed of a stone in a sling, the relationship between angular movement and tangential speed is essential, expressed by the equation V_t = r · ω. For a sling length of 0.750 m rotating at 10.0 revolutions per second, the speed can be determined by calculating the circumference and multiplying it by the rotation rate. Similarly, for a 1.050 m sling rotating at 8.00 revolutions per second, the same method applies. The discussion highlights the importance of understanding both the radius and the rate of rotation to find the stone's speed. Accurate calculations depend on applying these principles correctly.
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Homework Statement



Young David who slew Goliath experimented with slings before tackling the giant. He found that he could revolve a sling of length 0.750 m at the rate of 10.0 rev/s. If he increased the length to 1.050 m, he could revolve the sling only 8.00 times per second.



What is the speed of the stone for each rate of rotation?

a) ... m/s at 10.0 rev/s

b) ... m/s at 8.00 rev/s

The Attempt at a Solution



I can probably figure this out but I forgot my book and don't want to guess. Please could you tell me the equation that I use.

Thanks.
 
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It is most likely the relationship between angular movement and tangential.
V_t=r \cdot\omega

Casey
 
Thanks, I got it.

I just took the circumference and multiplied that by the rotations/sec.
 
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