What is the root-mean-square value of the following velocity components: 2.0 m/s,-3.0 m/s,and 4.0 m/s?
A) 5.4 m/s
B) 1.9 m/s
C) 3.1 m/s
D) 3.3 m/s
E) 1.0 m/s

Question

Quizplus · Accepted Answer

The root-mean-square (rms) value of a set of values is calculated by taking the square root of the average of the squares of the values. For the velocity components 2.0 m/s, -3.0 m/s, and 4.0 m/s, the calculation is as follows: sqrt[(2.0^2 + (-3.0)^2 + 4.0^2) / 3] = sqrt[(4 + 9 + 16) / 3] = sqrt[29 / 3] ≈ 3.1 m/s.

What Is the Root-Mean-Square Value of the Following Velocity Components