Maximum Acceleration Calculator:
Enter the values of Amplitude of the motion A(m) & Angular Frequency f(hertz = 1/s) to determine the value of Maximum Acceleration Amax(m/s2) .
Maximum Acceleration Formula:
The Maximum Acceleration Amax(m/s2) in meter per second square is equal to the Amplitude of the motion A(m) in meter and multiply the value of 2 and the pi value and again multiply the Angular Frequency f(hertz = 1/s) in Hertz and is squared.
The Formula of Maximum Acceleration can be written as,
Amax(m/s2) = A(m) * ( 2 * pi * f(hertz = 1/s) )2
Here,
Amax(m/s2) = Maximum Acceleration in meter per second square
A(m) = Amplitude of the motion in meter
f(hertz = 1/s) = Angular Frequency in Hertz
Maximum Acceleration Calculation :
1)Calculate the Maximum Acceleration and given for Amplitude of the motion = 6m , Angular Frequency = 400hz.
Answer
Amax = A * ( 2 * pi * f )2
Amax = 6 ( 2 * 3.141 * 400 )2
Amax = 37884983.04m/s2.
2)Calculate the Amplitude of the motion and given for Maximum Acceleration = 37884983.04m/s2 , Angular Frequency = 400hz.
Answer
Amax = A * ( 2 * pi * f )2
37884983.04 = A ( 2 * 3.141 * 400 )2
A = 6m.