Young David who slew Goliath experimented with slings beforetackling the giant.

Question

Young David who slew Goliath experimented with slings beforetackling the giant. He found that he could revolve a sling oflength 0.750 m at the rate of7.00 rev/s. If he increased the lengthto 1.050 m, he could revolve the slingonly 5.00 times per second. (a) What is the speed of the stone for eachrate of rotation?
1   m/s at 7.00rev/s
2 m/s at 5.00 rev/s

(b) What is the centripetal acceleration of the stone at7.00 rev/s?
3   m/s2

(c) What is the centripetal acceleration at 5.00 rev/s?
4    m/s2 (a) What is the speed of the stone for eachrate of rotation?
1   m/s at 7.00rev/s
2 m/s at 5.00 rev/s

(b) What is the centripetal acceleration of the stone at7.00 rev/s?
3   m/s2

(c) What is the centripetal acceleration at 5.00 rev/s?
4    m/s2

Explanation / Answer

a) 1) v=2rf. f = 7.00rev/s. r=.750m v=2(.75)(7)= 32.98m/s 2) f=5 r=1.05 v=2(5)(1.05)=32.98m/s b)a=v2/r a=(32.98)2/.75m=1450m/s2 c) a=(32.98)2/1.05m=1035.8m/s2

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