Uncertainty-Lab.docx

# 2 calculate the volume of the block with the vernier

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2. Calculate the volume of the block with the Vernier calipers a. V = lwh V = ( 32.5 ± 0.05 ) ( 32.5 ± 0.05 ) ( 32.5 ± 0.05 )

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0.05 32.5 ¿ ¿ ( 0.05 32.5 ) 2 +( 0.05 32.5 ) 2 + ¿ ∆z 34328.125 = ¿ ∆ z = ¿ V = 34328.125 ± 91.47 mm 3 V = 34.33 ± 0.091 cm 3 Therefore, through the meter stick measurements, the volume of the block is 34.33 ± 0.091 cm 3 . 3. Calculate the volume of the block using the water displacement a. V = initial final V = 100 ± 0.5 mL 72 ± 0.5 mL V = 28 ± 0.7 mL Therefore, through the meter stick measurements, the volume of the block is 28 ± 0.7 mL . 4. Identify the block a. Density = mass volume D = 287.9 ± 0.05 g 34.33 ± 0.09 cm 3 D = 8.39 ± 0.02 g / cm 3 Using the calculated density figure, the block seems to be made of brass. The material cannot be determined ambiguously. 5. Calculate % error a. %Error = | Measured Accepted | Accepted 100 %Error = | 8.39 8.4 | 8.4 100 %Error = 0.1
Wrap Up Questions 1. If we measured the dimensions of the block each being accurate to 1%, then the volume would be less accurate than 1% meaning it would have more than a 1% inaccuracy rate. This is due to the fact that when these uncertainties are multiplied and manipulated they become more substantial. 2. There are a few disadvantages to using caliper. The first being that Vernier scale of a Vernier caliper is quite small, so sometimes it can be difficult to read the measurements. It requires a good eyesight from the person conducting the measurement. The Vernier scale is a unique measuring instrument, users must learn how to read a Vernier caliper before taking measurements. Also taking a series of measurements one after one requires a good concentration. The advantage of using the water displacement method is that it allows you to find he volume of irregular solids.
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• Fall '15
• Vernier scale, Caliper

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