How will the period of oscillation of a spring pendulum change if the length of the spring is reduced by 2 times?
| March 3, 2021 | education
l2 = l1 / 2.
T1 / T2 -?
A spring-loaded model is a pendulum model consisting of a spring and a load suspended from it. The period of oscillation of the pendulum T is the time of one complete oscillation. For a spring pendulum, the period of natural free oscillations is determined by the formula: T = 2 * п * √m / √k, where п is the number pi, m is the mass of the load, k is the stiffness of the spring.
As you can see from the formula, the period of oscillation of the spring pendulum T depends only on two quantities: the mass of the load m and the stiffness of the spring k, and does not depend on the length of the spring.
Answer: the period of the spring pendulum will not change when the length of the spring changes: T1 = T2.
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