Question

Which of the following procedures was done to minimize human error? We let the weight swing 25 times and divided by 25 to get the avg period of one oscillation Why did we plot T2 vs L instead of just T vs L? By squaring the entire equation, we make T2 linear with L. Suppose Sarah Smith is swinging on a swing at the park. If the chain is 3 meters long, what will be the period (time) of one swing? 3.47 seconds 4.2 seconds 2.8 seconds Should the period depend on the mass at the end of the string?

Answer 1

Answer:

T = 3.475 s

Time period is independent from mass

Explanation:

- To reduce the human error in taking any measurements we take multiple N number of readings. Then sum up all the readings and divide by N to find an average. The error between each individual reading and the actual reading is reduced by repetition.

- We use the plot of T^2 against L to form a linear relationship between two variables. We square the entire the equation for linearize the equation.

- Given, L = 3 m . The time period is approximated by a pendulum expression given as:

                                     T = 2*pi*sqrt ( L / g )

Where, g is the gravitational acceleration 9.81 m/s^2

- Then we have:

                                     T = 2*pi*sqrt ( 3 / 9.81 )

                                     T = 3.475 s

- From above expression we see that time period is independent from the mass at the end of the string but a function of pendulum geometry and kinetics.