Question

The period T of a pendulum of length L is measured to determine g at the surface of Earth. The equation used is T=2π√L/g. The mass of the pendulum bob is 10.0 kg, and the length of the pendulum is 1.00 m. Which of the following would contribute most to the expected error in the result?
a. 10% uncertainty in the measurement of the mass.
b. Approximating the value of t as 3.14.
c. Variation in the value of g as the pendulum bob moves along its arc.
d. Using the average period of 10 timed oscillations instead of the period of 1 timed oscillation.
d. Starting the pendulum swinging by releasing it from a horizontal position D. E.

Answer 1

Answer:

C: Variation in the value of g as the pendulum bob moves along its arc.

Explanation:

The formula for period of a simple pendulum is given by;

T = 2π√(L/g)

Where;

L is length

g is acceleration due to gravity

Now, from this period equation, it is clear that the only thing that can affect the period of a simple pendulum are changes to its length and acceleration due to gravity.

Looking at the options, the only one that talks about either the length or gravity as being potential causes of the error is option C