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Gemiola [76]
3 years ago
6

A distance of 200 ft must be taped in a manner to ensure a standard deviation smaller than ± 0.04 ft. What must be the standard

deviation per 100 ft tape length to achieve the desired precision?Express your answer to three significant figures and include appropriate units.
Physics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

The error in tapping is ±0.02828 ft.

Explanation:

Given that,

Distance = 200 ft

Standard deviation = ±0.04 ft

Length = 100 ft

We need to calculate the number of observation

Using formula of number of observation

n=\dfrac{\text{total distance}}{\text{deviation per tape length}}

Put the value into the formula

n=\dfrac{200}{100}

n=2

We need to calculate the error in tapping

Using formula of error

E_{series}=\pm E\sqrt{n}

E=\dfrac{E_{series}}{\sqrt{n}}

Put the value into the formula

E=\dfrac{0.04}{\sqrt{2}}

E=\pm 0.02828\ ft

Hence, The error in tapping is ±0.02828 ft.

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The resultant displacement of the man is 109.77 km in the direction N60°E.

<h3>Displacement</h3>

Displacement is the distance travelled in a specified direction.

To calculate displacement, the straight line from starting point to end point of travel is taken and calculated.

<h3>Resultant displacement of the man </h3>

In the example above, a man walks 95 km, East, then 55 km, north.

The two distances form a right-angled triangle with two sides 95 and 55 units. The hypotenuse gives the resultant displacement, D.

Using Pythagoras rule:

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To calculate the direction:

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Therefore, the resultant displacement of the man is 109.77 km in the direction N60°E.

Learn more about displacement at: brainly.com/question/321442

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