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.