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In a lab experiment you observe that a pendulum swings with a "period" (time for one round trip) of 2s. In an iterative calculation of the motion, which of the following would NOT be a reasonable choice for Δt, for either hand or computer iterative calculations? a) 1s b) 0.1sc) 0.05s d)0.01\mathrm{~s}.

Short Answer

Expert verified

Thus, d)0.01sis not a reasonable choice for Δt.

Step by step solution

01

Identification of the given data 

The given data can be listed below as

  • A pendulum is referred to as a weight that is hung from a fixed end for swinging freely.

  • A constant force is applied to trigger the pendulum’s motion, which leads to imbalances in the equilibrium position of the pendulum.

  • The swing time of the pendulum is the time taken by the pendulum to reach its starting destination after a whole swing.

  • The pendulum swings at a period of 2s

02

Determination of the unreasonable choice for the change in time 

As the total period of the pendulum is 2s, the time 0.01swillnot be a reasonable choice for Δtas this time is almost negligible for understanding the pendulum's motion.

The other periods such as (a)1s,(b) 0.1sand (c) 0.05scan predict the time Δtas the time is independent of the pendulum's mass, plus these are not negligible. However, there are no devices that can predict the motion of a pendulum in this small amount of time, such as Δt.

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