English

# Miles Equation

The miles equation is a simplified method of calculating the response of a single degree of freedom system to a random vibration base input, where the input is in the form of a power spectral density. The g2/hz is the unit of PSD measurement of an operating hard disk drive. Here is the online calculator for g2/hz to grms conversion using Miles Equation. Using this equation, you can calculate grms, with the formula √[(pi / 2) (F x Q x P)] and by multiplying grms by 3 gives you Xpeak.

## G^2/HZ to Grms Conversion

Hz
g2/Hz
g
g

The miles equation is a simplified method of calculating the response of a single degree of freedom system to a random vibration base input, where the input is in the form of a power spectral density. The g2/hz is the unit of PSD measurement of an operating hard disk drive. Here is the online calculator for g2/hz to grms conversion using Miles Equation. Using this equation, you can calculate grms, with the formula √[(pi / 2) (F x Q x P)] and by multiplying grms by 3 gives you Xpeak.

#### Formula:

Xgrms = √[(Π / 2) F x Q x P] Xpeak = 3 Xgrms Where, F = Frequency P = Acceleration Q = Quality Factor

### Example:

Calculate Xgrms and Xpeak for frequency of 2 Hz, quality factor of 5 and accelration of 7 g2/Hz.

#### Solution:

Xgrms = √[(Π / 2) F x Q x P]
= √[ (3.14 / 2) 2 x 5 x 7]
= 10.486 g

Xpeak = 3 Xgrms
= 3 x 10.486
= 31.4579 g