Hi, I have been given a set of data which includes acceleration, velocity and time from an experiment. We have been asked to process the data in a specific manner so we can calculate the transmission loss based on some gicen equations. I am not sure how to go around starting this section. I know how to load the data but am unsure what is asking when we have to convert the acceleration into velocity. I have the following eqations given:
v(t) =integral of acceleration with respect to time (int (a) dt) with the limits between 0 and t
and v(t)=cumsum(a)* change in t
Does anyone have any ideas on how the cumsum function changes the integration?
Units of acceleration are typically m/s^2 (meters per second squared). Time is typically in seconds. So when you multiply (m/s^2) by (s) the results is (m/s) or, meters per second (which are the units for velocity). Multipying acceleration by the change in time gives you the change in velocity. Here's an example.
If a car is accelerating at 10 m/s^2 for 5 seconds, then 10 m/s^2 * 5 s = 50 m/s. So, there is a 50 m/s increase in velocity. But you still don't know the absolute speed of the car because you don't know it's starting speed. If the starting speed was 2 m/s then 2 + 50 = 52 m/s absolute speed.
Now let's say you have vectors of data where each element of the vector was recorded at different time points.