## Converting power into acceleration

## Converting power into acceleration

**Finego Steel**(visitor)

(OP)

Currently, i have a set of output response on vibration caused by traffic from a distance. The output response are in acceleration but i have a software which can only read values in terms of power. I would like to ask if any one out there knows how to convert acceleration into power and vice versa? Is there a formula to it or a software to do it?

## RE: Converting power into acceleration

## RE: Converting power into acceleration

I am not sure that I understand this but you might...

[copied from http://www.krysstal.com/calculus.html]

The derivative measures rates of change for functions that are continuous and variable. Functions like this are used extensively in science.

If there is a relationship between distance travelled (s) and time (t), then the derivative of distance with respect to time, ds/dt, gives the velocity (v) at any time.

Example: A particle moves so that its distance (in m) from a fixed point is given by

s = 2t2 - 3t + 1, where t is time in seconds. Find its velocity after 4s.

The velocity, v, is given by ds/dt so we differentiate the above equation with respect to t:

v = ds/dt = 4t - 3. When t = 4s, v = 13m/s.

If there is a relationship between the velocity of a particle (v) and time (t), then the derivative of v with respect to t, dv/dt, gives the acceleration (a) at any time.

Example: The above particle's velocity is given by v = 4t - 3. What it is acceleration after 1s.

The acceleration, a, is given by dv/dt so we differentiate the above equation with respect to t:

a = dv/dt = 4. The acceleration is constant at 4m/s2.

If there is a relationship between Energy (E) and time (t), then the derivative of E with respect to t, dE/dt, gives the power (P) at any time.

Example: A device uses up energy in a manner dependent on time: E = t3, where E is energy in Joules and t is the time in seconds. Find the power being used after 2s.

The power, P, is given by dE/dt so we differentiate the above equation with respect to t:

P = dE/dt = 3t2. The power after 2s is therefore 12W.

[© 2001 Kryss Katsiavriades]

Good luck!!

Adam B-Browne