How to Calculate Uncertainty in Velocity If You Are Given the Percentage of Uncertainty

How fast are you driving? A glance at the speedometer gives you the speed, but science tells us that this reading is not necessarily the actual speed at which you are traveling. All measurements taken from the world in which you live hold some uncertainty based on human and machine error. The uncertainty or inaccuracy in a measurement can be quantified and presented as a percentage of uncertainty. Your confidence in the accuracy of a measurement should grow as the uncertainty in the measurement decreases.

Things You'll Need

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Instructions

    • 1

      Write the percentage uncertainty as a decimal uncertainty. Divide the percentage uncertainty by 100 to obtain the decimal uncertainty. For example, 15 percent uncertainty can be written as a decimal uncertainty of 0.15 = 15/100 = (percentage uncertainty)/100.

    • 2

      Multiply the decimal uncertainty by the velocity to obtain the uncertainty in velocity. For example, if the velocity is 200 m/s and the decimal uncertainty is 0.15, the uncertainty in the velocity is 30 = 0.15 x 200 = (decimal uncertainty) x (velocity).

    • 3

      Write the plus-minus sign before the uncertainty of velocity value. For example, an uncertainty of 15 percent in the velocity of 200 m/s is written as +/- 30 m/s. This indicates that the range of uncertainty is twice as large as the value of the uncertainty. For example, an uncertainty of 30 m/s shows that the velocity could be up to 30 m/s more or less than the given value for the velocity.

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