*11. ssmA spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation , where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct?

 

Starting with the given equation

Now solve for k

 

Now place dimensions in

So k must have units of Mass per time squared!

 

Double Check

 

CheckÖ

 

 

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This page last updated on January 11, 2020