Learning Objectives
Contents to learn
Average value for small distance
For precise measurements of small distances, we take repeated measurements and then take their average.
Example
Find the length of a pencil.
Find the length of the pencil five times i.e. 5.1 cm, 5.2 cm, 5.1 cm, 5.3 cm, and 5.2 cm.
Average length = 5.1+5.2+5.1+5.3+5.2/5 = 5.18 cm
Measurements of short intervals of time
Measurement of short intervals of time is crucial in experiments due to human reaction time or short physical processes.
Example: An object falls from a certain height and measures its average time when it collides with the ground.
We record readings four times i.e. 2.1 s, 2.2 s, 2.1 s, and 2.2 s.
Average time = (2.1 + 2.2 + 2.1 + 2.2) s / 4 = 2.15 s.
Understanding and Calculating the period of a simple pendulum
Simple pendulum
A point mass attached with an inextensible and weightless string whose other end is connected with fixed support (e.g. stand) is called a simple pendulum.
Basic terms of pendulum:
Oscillation
One Complete round trip of a pendulum is called oscillation i.e. form A→C→A→B and back to A
Time period (T)
Time taken by a pendulum to complete one oscillation.
Frequency (f)
It is a number of oscillations completed in one second.
f = 1/T
where f = frequency, measured in Hertz (Hz)
How to determine the time period of a pendulum using a stopwatch?
Set the pendulum into motion.
Note the time for 20 oscillations by using a stopwatch.
Find the time for one oscillation by using the formula
Period of one Oscillaiton =T = t/n
where t = time noted by watch
n = no. of oscillation
T = time period
Example
If 20 oscillations of a simple pendulum take 60 s
Period of one Oscillaiton =T = t/n = 60/20 =3 s