1.3.1 – Stopwatch

You will frequently be measuring time in the laboratory using a digital stopwatch.

The useful precision of the stopwatch is 0.1 s

Note, most stopwatches will have a display in the following format:

H:MM:SSss or M:SSss

Where H is hours, MM is minutes, SS is seconds and the final digits (ss) being hundredths of a second.

Recording a Stopwatch Reading
However, even though the digital stopwatch will usually display 0.01 s, as human reaction time is typically much more than 0.1 s (typically 0.2 s to 0.5 s) we will only be recording the reading to the nearest 0.1 s.

 

Example 1
What is the reading on the following stopwatch display? And how should the value be recorded?

Reading: 45.34 s

Recorded as: 45.3 s

Example 2
How would you record the following time displayed on a stopwatch?

Reading: 80.30 s

The display is showing 1 minute, 20 seconds and 30 1/100ths of a second. As SI units are seconds, we should use seconds and not minutes.

Recorded as: 80.3 s

 

Taking an Average

Due to the uncertainty in making time readings (caused by human reaction time) we will usually try to make several readings and then determine an average value. A minimum of 2 readings should be taken, with more being preferable.

Example
In an experiment 2 timings are taken, t1 = 23.4 s and t2 = 23.5 s. How should the average be recorded?

<t> = ( t1 + t2)/2

<t> = ( 23.4 + 23.5)/2

<t> = 23.45 s

<t> = 23.5 s (to 2.d.p.)

We need to give the final answer to the same precision as the stopwatch (i.e. as if it had been read from the stopwatch). Hence we should not be giving the average as 23.45 s.

Wait a Sec!
SI unit for the second is ‘s’, thus ‘1.2 s’ is correct ‘1.2 sec’ will be marked as wrong as it is non standard.

 

Links
Test your Reaction Time

 

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