Consider a 0.30 kg puck tied to a stake in the ice (i.e. ignore friction) with...
Consider a 0.30 kg puck tied to a stake in the ice (i.e. ignore friction) with a string 0.25 m in length. The puck is moving in uniform circular motion and completes a revolution with a period of 0.23 s. What is the tension in the string in Newtons?
Homework Answers
The tension in the string is equal to the centrifugal force
associated with the circular motion. So, if the length of the
string is L, the mass attached at the end of it is m, and the
angular frequency of the circular motion is 
, then the
tension in the string is
Now re-expressing in terms of the time period T of the circular motion, we get
Where we have used
So, putting the given values,
We get the tension in the string as
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