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m Next, consider the case of a student Wishing to determine the spring constant for a spring by measuring the period of oscillation of a
m Next, consider the case of a student Wishing to determine the spring constant for a spring by measuring the period of oscillation of a mass on the spring. The student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (T) is given by the equation Mass (m) 0.200 kg T=21r,/. k This is not a linear equation, but it can be linearized using the same method used to linearize Equation 10. Square both sides of the equation. Then, you can then plot T2 versus m. The slope of the resulting line can be used to determine the spring constant, k. 0.400 kg 0.600 kg 0.800 kg (19) 1.000 kg 1.200 kg Period (T) T2 0.331 sec 0.459 sec 0.575 sec 0.669 sec 0.728 sec 0.803 sec
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