Tolerance and Error Calculations

The video tutorial covers the concepts of percentage error and tolerance. It begins by explaining percentage error through a practical example of measuring a box's length. The tutorial then details how to calculate relative and percentage error. Following this, the concept of tolerance is introduced, explaining how to determine tolerance intervals. The video concludes with a call to action for viewers to engage with the content.

What is the main topic discussed in the video?

• Physics experiments

• Percentage error and tolerance

• Measurement techniques

• Mathematical equations

In the example given, what was the estimated length of the box?

• 20 centimeters

• 22 centimeters

• 24 centimeters

• 18 centimeters

What is the actual length of the box in the example?

• 26 centimeters

• 22 centimeters

• 20 centimeters

• 24 centimeters

How is the error in the estimate calculated?

• By multiplying the estimated value by the actual value

• By adding the estimated and actual values

• By dividing the estimated value by the actual value

• By subtracting the estimated value from the actual value

What is the formula for calculating relative error?

• Error divided by estimated value

• True value divided by error

• Estimated value divided by error

• Error divided by true value

How is percentage error derived from relative error?

• By multiplying relative error by 10

• By dividing relative error by 100

• By multiplying relative error by 100

• By adding 100 to relative error

What is the percentage error in the example provided?

• 10%

• 25%

• 16.6%

• 20%

What does tolerance represent in measurements?

• The exact value of a measurement

• The average of multiple measurements

• The smallest possible error

• The greatest range of variation allowed

How do you calculate the tolerance interval?

• By adding and subtracting half of the tolerance

• By multiplying the tolerance by two

• By adding and subtracting the full tolerance

• By dividing the tolerance by two

In the example, what is the true value for the measurement?

• 15

• 16

• 14

• 13