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Aleonysh [2.5K]
3 years ago
9

The volume of a cylinder is V space equals space pi space r squared space h, where r is the radius of the circular faces and h i

s the height of the cylinder. Your measurements show that the mean value of r is 21 cm and its statistical and instrumental uncertainties turned out to be 0.10 cm and 0.20 cm, respectively. Likewise, that of h are 13 cm for the mean, 0.2 cm (statistical) and 0.3 cm (instrumental) for its uncertainties.
A. What can you say about which source of uncertainty has the largest contribution to the overall uncertainty of V ?
B. What would you need to do to improve (reduce) the uncertainty on your calculation of V?
Physics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

a) variable that introduces more uncertainty is the measurement of heigh

Explanation:

a) Uncertainty can be calculated by making differential days of volume

         V = π r² h

    the error absolute is

         ΔV = dV/dr  Δr + dV/dh   Δh

         ΔV = π h 2r Δr + π r² Δh

  to calculate the absolute error we use the instrument error

         ΔV = π 13 2 21 0.20 + π 21² 0.3

         ΔV = 343 + 415 = 758 cm³

         ΔV = 8 10² cm³

To see more clearly what measurement should be performed, look for the relative error

         ΔV / V = ​​2 Δr / r + Δh / h

         

let's use the uncertainties of the intrumetos

          ΔV/ V = ​​2 0.2 / 21 + 0.3 / 13

          ΔV / V = 0.019 + 0.023

let's use statistical uncertainty

          ΔV / V = ​​2 0.1 / 21 + 0.2 / 13

           ΔV / V = ​​0.0095 + 0.015

We see that the variable that introduces more uncertainty is the measurement of height, either with the uncertainty of the instrument if a single measurement is made or with the statistical uncertainty if several measurements are made.

b) To improve the precision of the medicines we must measure the height of the cylinder with more pressure, using an intricate that has less error.

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Answer:

The runner's speed at the following times would remain 8.64 m/s.

Explanation:

Acceleration definition: Acceleration is rate of change in velocity of an object with respect to time.

In this case, after 3.6 seconds the acceleration is zero, it means that the velocity of the runner after 3.6 seconds is not changing and it will remain constant for the remainder of the race. Now, we have to find the velocity of the runner that he had after 3.6 seconds and that would be the runner's speed for the remainder of the race. For this we use first equation of motion.

First equation of motion:        Vf = Vi + a×t

Vf stands for final velocity

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In the question, it is mentioned that the runner starts from rest so its initial velocity (Vi) will be 0 m/s.

The acceleration (a) is given as 2.4 m/s²

The time (t) is given as 3.6 s

Now put the values of Vi, a and t in first equation of motion

                       Vf = Vi + a×t

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The northward components of the resultant displacement is 40.96 m and the westward components of the resultant displacement of the bird from its nest is 28.68 m.

<h3>Displacement of the bird</h3>

The displacement of the bird is the change in the position of the bird.

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Vy₂ = 61.44 m

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Vx₁ = -14.34 m

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Vx₂ = 43.02 m

Total horizontal displacement = 43.02 m - 14.34 m = 28.68 m

Learn more about displacement here: brainly.com/question/2109763

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