How do you find the maximum error of an area?

How do you find the maximum error of an area?

The differential of area is used as the approximate maximum error. A=2[LW+WH+LH] . dA=2⋅[((dL)W+L(dW))+((dW)H+W(dH))+((dL)H+L(dH))] . dL=dW=dH=0.2 cm .

How do you find the maximum possible error?

The greatest possible error of a measurement is considered to be one-half of the measuring unit. If you measure a length to be 4.3 cm. (measuring to the nearest tenth), the greatest possible error is one-half of one tenth, or 0.05.

What is maximum possible error?

The greatest possible error (GPE) is the largest amount a ballpark figure can miss the mark. It’s one half of the measuring unit you are using. For example: If measuring in feet, the GPE is 1/2 of a foot. …or in tenths of a meter, the GPE is 1/2 of tenth of a meter (that’s 1/2 * 1/10 m = 0.05 m).

How do you find the relative maximum error?

Divide the Absolute Error by the Actual Value of the item in question to get Relative Error. The result is the relative error. Note that in most cases the unit of measurement of the absolute error will be the same as the unit of measurement of the actual value, and the units will cancel each other.

How do you find the maximum and minimum error?

The basic method we will use to propagate errors is called the min-max method. To use this method we define a minimum and maximum value for each of the measurements used to calculate the final result. The minimum and maximum values are simply (best value – uncertainty) and (best value + uncertainty).

How do you find the minimum and maximum area?

To find the minimum possible area, subtract the greatest possible error from each measurement before calculating. To find the maximum possible area, add the greatest possible error to each measurement before calculating.

How do you find the maximum percent error?

There is a simple and straightforward formula for calculating this percent error and is given below:

1. Percent error = (Approximate or experimental Value – Exact or known ValueExact or known Value)
2. The formula for percent error = (Approximate or experimental Value – Exact or known ValueExact or known Value)

How do you calculate error and relative error?

Relative Error And Percent Error To calculate relative error, subtract the measured value by the real value and then divide the absolute of that number by the real value to get the relative error. We can then multiply by 100% to get the percent error.

How do you calculate differential errors?

Using Differentials to Estimate Errors

1. Relative error in the radius is drr=0.0120=0.0005.
2. Percentage error in the radius is drr⋅100%=0.05%.
3. Relative error in the volume is dVV=4πr2dr43πr3=3drr=3⋅0.0005=0.0015.
4. Percentage error in the volume is dVV⋅100%=0.15%.

How can we calculate the maximum possible error in the final result in different cases?

When two quantities are added or subtracted, the absolute error in the final result is the sum of the absolute errors in the individual quantities. We have by addition, Z ± ΔZ = (A ± ΔA) + (B ± ΔB). The maximum value of the error ΔZ is again ΔA + ΔB.