calculate the RMS (root mean square) of this function.
https://i50.tinypic.com/2iuq80x.jpg
the period T=4
the formula is
[latex]V_{rms}=\sqrt{\frac{1}{T}\int_{0}^{T}V_r^2dt}[/latex]
[latex]V_{rms}=\frac{1}{4}4\int_{0}^{T}(4t)^2dt}[/latex]
[latex]V_rms=\sqrt{s}=\sqrt{\frac{16}{3}}[/latex]
the solution says that they divide the graph into 4 triangles
and they sum their areas
but they dont use the integral?
why they say (4t)^2
from where the 4t comes from?
why they say that its the root of the area
why they dont divide by the period?
https://i50.tinypic.com/2iuq80x.jpg
the period T=4
the formula is
[latex]V_{rms}=\sqrt{\frac{1}{T}\int_{0}^{T}V_r^2dt}[/latex]
[latex]V_{rms}=\frac{1}{4}4\int_{0}^{T}(4t)^2dt}[/latex]
[latex]V_rms=\sqrt{s}=\sqrt{\frac{16}{3}}[/latex]
the solution says that they divide the graph into 4 triangles
and they sum their areas
but they dont use the integral?
why they say (4t)^2
from where the 4t comes from?
why they say that its the root of the area
why they dont divide by the period?
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