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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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2 years ago
NEED ANSWER ASAP!!! Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket.
Schach [20]

a. The free-body diagram for the glass when it is at the top of the circle is attached below.

b. The equation for the net force on the glass at the top of the circle in terms of w, Fn, m, v, and r is mg x g + N -  mg x Vtop² /R =0

c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. The speed with which she spin the bucket to prevent this from happening is 3.83 m/s.

d. The string will break if the tension on it is more than 100 N. The range of speeds can  prevent the string from breaking is 3.83< Vtop<4.99 m/s

<h3>What is Net force?</h3>

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

Given, Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. She must swing the bucket to keep the glass from falling out.

a. The free body diagram of the bucket and glass is attached below.

b. Bucket will undergo centrifugal force

Fb = mVtop² /R

From the equilibrium of forces, we have

For bucket,

T +mb xg - N =  mb x Vtop² /R..............(1)

For glass,

mg x g + N =  mg x Vtop² /R..............(2)

Thus, this is the net force equation on the glass.

c. On adding both the equations. we have

T + (mb + mg) xg = (mb + mg) Vtop² /R

Substituting the values, T = 0 and from the question, we get

0 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)

Vtop = 3.83 m/s

Thus, the speed of spin to prevent glass from falling out is 3.83 m/s

d. The string will break if the tension on it is more than 100 N

100 + (2+0.5) 9.81 = (2+0.5)(Vtop²/0.5)

Vtop = 4.99 m/s

Thus, the range of velocity is  3.83< Vtop<4.99 m/s

Learn more about net force.

brainly.com/question/18031889

#SPJ1

8 0
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Eduardwww [97]

Answer:

8 m/s²

Explanation:

Given,

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To find : -

Acceleration ( a ) = ?

Formula : -

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a = F / m

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It's acceleration is 8 m/s².

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Answer: 3.08 !! <3

Explanation: im sorry but im not sure y i just got the answer wrong and this is wut it told me was right :)

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Read 2 more answers
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