5 Uncertainty Lab Notes

Exploring and Dealing with Uncertainty 1. Measure the voltage of a single battery with five different analog voltmeters. 1.40 v

Exploring and Dealing with Uncertainty 1. Measure the voltage of a single battery with five different analog voltmeters. 1.40 v 1.37 v

Exploring and Dealing with Uncertainty 1. Measure the voltage of a single battery with five different analog voltmeters. 1.40 v 1.37 v 1.35 v

Exploring and Dealing with Uncertainty 1. Measure the voltage of a single battery with five different analog voltmeters. 1.40 v 1.37 v 1.35 v 1.32 v

1. Measure the voltage of a single battery with five different analog voltmeters. range 1.40 – 1.32 = 0.08 Uncertainty = range/2 0.04 round to 1 digit average 1.366 ± 0.04 round average to the digit of the uncertainty 1.37 ± 0.04 v same decimal uncertain digit uncertainty average uncertainty unit

Exploring and Dealing with Uncertainty 2. Measure the voltage of a single battery with five different digital voltmeters.

Exploring and Dealing with Uncertainty 2. Measure the voltage of a single battery with five different digital voltmeters. 1.389 v

Exploring and Dealing with Uncertainty 2. Measure the voltage of a single battery with five different digital voltmeters. 1.389 v 1.375 v

Exploring and Dealing with Uncertainty 2. Measure the voltage of a single battery with five different digital voltmeters. 1.389 v 1.375 v 1.366 v

Exploring and Dealing with Uncertainty 2. Measure the voltage of a single battery with five different digital voltmeters. 1.389 v 1.375 v 1.366 v 1.359 v

Exploring and Dealing with Uncertainty 2. Measure the voltage of a single battery with five different digital voltmeters. 1.389 v 1.375 v 1.366 v 1.359 v 1.368 v

Exploring and Dealing with Uncertainty 2. Measure the voltage of a single battery with five different digital voltmeters. 1.389 v 1.375 v 1.366 v 1.359 v 1.368 v range 1.389 – 1.359 = 0.030 Uncertainty = range/2 0.015 round to 1 digit average 1.3714 ± 0.02 round average to the digit of the uncertainty 1.37 ± 0.02 v uncertain digit uncertainty same decimal average uncertainty unit

Determine the average and uncertainty range 35.67 – 35.27 = 0.40 Uncertainty = range/2 0.20 reject- way off round to 1 digit 35.4125  0.2 g round to 1st decimal 35.4  0.2 g

Determine the average and uncertainty 4. 105.335 mm 105.334 mm 105.333 mm 105.336 mm range 1056.336 – 105.333 = 0.003 Uncertainty = range/2 0.0015 round to 1 digit 105.3344  0.002 mm round to 3rd decimal 105.334  0.002 mm

Determine the average and uncertainty 5. 1.263 cm 1.262 cm 1.261 cm 1.283 cm range 1.263 – 1.261 = 0.002 Uncertainty = range/2 0.001 round to 1 digit 1.262  0.001 cm round to 3rd decimal 1.262  0.001 cm

What is wrong with each measurement? 1.37  0.02 v 1.37  0.002 v not same decimal place! 1.37  0.03 v 1.37  0.025 v uncertainty has one digit 1.370  0.002 v 1.370 v  0.002 the unit goes on the end

Reading A Burette

39.00 mL Establish the scale 39.50 mL 40.00 mL 40.05 mL

24.20 mL The last 0 shows that it is right on the line

1.93 mL