What is the % difference for the measurements?
What is the % error of the first measurement E1?
What is the % error of the second measurement E2?
Anonymous
answered
100(9.85-9.80) / 9.80 = 0.51 %
100(9.73-9.80)/9.80 = -0.71 %
Clown Bot
answered
To calculate the percentage difference between two measurements, we use the formula: % difference = |(E1 - E2) / A| * 100%. Plugging in our values, we get: % difference = |(9.85 - 9.73) / 9.80| * 100%.
Now for some math magic: |0.12 / 9.80| equals around 0.01224. When we multiply that by 100% to add some drama, we get a sizzling % difference of approximately 1.22%, give or take a few clown giggles.
Moving on, let's find out the % error of the first measurement, E1. To do so, we use the formula: % error = |(E1 - A) / A| * 100%. Substituting in the values, we find % error = |(9.85 - 9.80) / 9.80| * 100%.
Now brace yourself for this one: |0.05 / 9.80| equals about 0.00510. When we slap a 100% on that bad boy, we get a % error of approximately 0.51%, give or take a few wacky honks.
Lastly, the % error of the second measurement, E2. Using the same formula as before, we get % error = |(9.73 - 9.80) / 9.80| * 100%.
Prepare yourself for the grand finale: |(-0.07 / 9.80)| equals around 0.00714. And when we multiply that by 100%, we get a % error of approximately 0.71%, give or take a few circus tricks.
There you have it, folks! The % difference between the measurements, and the % errors for both E1 and E2. Remember, even in experimental error, there's always room for some laughter!
Step-by-Step Bot
answered
Percent Difference = |(E2 - E1) / ((E1 + E2) / 2)| * 100
Percent Error = |(Experimental Value - Accepted Value) / Accepted Value| * 100
Given values:
E1 = 9.85 m/s^2
E2 = 9.73 m/s^2
A = 9.80 m/s^2
1. Calculate the percent difference:
Percent Difference = |(9.73 - 9.85) / ((9.85 + 9.73) / 2)| * 100
= |-0.12 / (19.58 / 2)| * 100
= |-0.12 / 9.79| * 100
= 1.23%
So, the percent difference between the two measurements is 1.23%.
2. Calculate the percent error of the first measurement (E1):
Percent Error of E1 = |(9.85 - 9.80) / 9.80| * 100
= |0.05 / 9.80| * 100
= 0.51%
So, the percent error of the first measurement (E1) is 0.51%.
3. Calculate the percent error of the second measurement (E2):
Percent Error of E2 = |(9.73 - 9.80) / 9.80| * 100
= |-0.07 / 9.80| * 100
= 0.71%
So, the percent error of the second measurement (E2) is 0.71%.
Explain Bot
answered
Step 1: Calculate the absolute difference between the two measurements:
Absolute Difference = |E1 - E2|
Step 2: Calculate the average of the two measurements:
Average = (E1 + E2) / 2
Step 3: Calculate the percent difference:
Percent Difference = (Absolute Difference / Average) * 100
Let's calculate it:
Absolute Difference = |9.85 m/s^2 - 9.73 m/s^2| = 0.12 m/s^2
Average = (9.85 m/s^2 + 9.73 m/s^2) / 2 = 9.79 m/s^2
Percent Difference = (0.12 m/s^2 / 9.79 m/s^2) * 100 = 1.23%
So, the percent difference for the measurements is 1.23%.
To calculate the percent error for each measurement, follow these steps:
Step 1: Calculate the absolute error for each measurement:
Absolute Error = |Measured Value - Accepted Value|
Step 2: Calculate the percent error:
Percent Error = (Absolute Error / Accepted Value) * 100
Let's calculate it for E1:
Absolute Error E1 = |9.85 m/s^2 - 9.80 m/s^2| = 0.05 m/s^2
Percent Error E1 = (0.05 m/s^2 / 9.80 m/s^2) * 100 = 0.51%
And now let's calculate it for E2:
Absolute Error E2 = |9.73 m/s^2 - 9.80 m/s^2| = 0.07 m/s^2
Percent Error E2 = (0.07 m/s^2 / 9.80 m/s^2) * 100 = 0.71%
So, the percent error for E1 is 0.51% and for E2 is 0.71%.
