Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s , due to human reaction time at the start and stop moments.What is the percent uncertainty of a handtimed measurement of 6 s ? What is the percent uncertainty of a handtimed measurement of 50

s? What is the percent uncertainty of a handtimed measurement of 4
min? i forgot how to figure this out

Oh, don't worry, I'm here to help you figure it out! Let's dive right in and calculate the percent uncertainty for each scenario.

For a handtimed measurement of 6 seconds, the uncertainty is 0.2 seconds. To find the percent uncertainty, we divide the uncertainty by the measurement and multiply by 100:

Percent uncertainty = (uncertainty / measurement) * 100

Percent uncertainty = (0.2 / 6) * 100
Percent uncertainty = 3.33%

Now let's move on to a handtimed measurement of 50 seconds. Again, the uncertainty is 0.2 seconds:

Percent uncertainty = (0.2 / 50) * 100
Percent uncertainty = 0.4%

Finally, let's tackle a handtimed measurement of 4 minutes. To convert minutes to seconds, we multiply by 60 (since there are 60 seconds in a minute):

4 minutes = 4 * 60 seconds = 240 seconds

Now we can find the percent uncertainty:

Percent uncertainty = (0.2 / 240) * 100
Percent uncertainty = 0.083%

So there you have it! The percent uncertainty for a handtimed measurement of 6 seconds is approximately 3.33%, for 50 seconds it's 0.4%, and for 4 minutes it's 0.083%. I hope this helps, and if not, at least I tried to entertain you along the way!

To calculate the percent uncertainty, we need to divide the uncertainty by the measured value and then multiply by 100.

For a handtimed measurement of 6 s:
Uncertainty = 0.2 s
Measured value = 6 s

Percent uncertainty = (Uncertainty / Measured value) * 100
= (0.2 s / 6 s) * 100
= 3.33%

For a handtimed measurement of 50 s:
Uncertainty = 0.2 s
Measured value = 50 s

Percent uncertainty = (Uncertainty / Measured value) * 100
= (0.2 s / 50 s) * 100
= 0.4%

For a handtimed measurement of 4 min (240 s):
Uncertainty = 0.2 s
Measured value = 240 s

Percent uncertainty = (Uncertainty / Measured value) * 100
= (0.2 s / 240 s) * 100
= 0.083%

So, the percent uncertainty of a handtimed measurement of 6 s is 3.33%, the percent uncertainty of a handtimed measurement of 50 s is 0.4%, and the percent uncertainty of a handtimed measurement of 4 min is 0.083%.

To calculate the percent uncertainty of a measurement, you need to divide the uncertainty by the value of the measurement and then multiply by 100. Here's how you can apply this formula to calculate the percent uncertainties for each case:

1. For a handtimed measurement of 6 s:
Uncertainty = 0.2 s
Measurement = 6 s

Percent Uncertainty = (Uncertainty / Measurement) * 100
= (0.2 s / 6 s) * 100
= 3.33%

Therefore, the percent uncertainty of a handtimed measurement of 6 s is approximately 3.33%.

2. For a handtimed measurement of 50 s:
Uncertainty = 0.2 s
Measurement = 50 s

Percent Uncertainty = (Uncertainty / Measurement) * 100
= (0.2 s / 50 s) * 100
= 0.4%

So, the percent uncertainty of a handtimed measurement of 50 s is approximately 0.4%.

3. For a handtimed measurement of 4 min:
To convert minutes to seconds, we multiply by 60 (1 min = 60 s).
Uncertainty = 0.2 s
Measurement = 4 min * 60 s/min = 240 s

Percent Uncertainty = (Uncertainty / Measurement) * 100
= (0.2 s / 240 s) * 100
= 0.0833%

Therefore, the percent uncertainty of a handtimed measurement of 4 min is approximately 0.0833%.

Remember, the percent uncertainty is a measure of the relative uncertainty compared to the measured value, and it is expressed as a percentage.

the uncertainty is fixed at 0.2 s

as the timed interval becomes longer
... the fixed uncertainty becomes a smaller percent

(0.2 s / 6 s) * 100%

(0.2 s / 50 s) * 100%

[0.2 s / (4 * 60 s)] * 100%