Measure punch power by calculate distance and speed of iphone - ios

I want to measure the punch power by iphone, and I think I need to measure the distance iphone move from starting point to the end point, I measure time for this movement.
I can calculate speed = distance / time
I need the mass of user's body, I can know the mass of user's arm
From the speed and the mass of user's arm, I can calculate the punch power (Newton unit)
Did I think right? Or have any method that I don't know?
Should I use Accelerator or GPS to measure?
Thanks

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Track user speed with CoreMotion without GPS

I want to track user's position and update it in the offline map based on his movement without using GPS and having to rely on location updates.
I have tried CMMotionManager and got acceleration in G's. However, this is acceleration rather than valocity. The manager also allows to get gravity, rotation and attitude.
Is there a way to calculate the user's speed in m/s ? If so, how would I go about it? Any formulas / code samples?
The only way to do this is to assume that the phone is at rest when the app starts. With an accelerometer there's no way to tell the difference between being at rest and moving at a constant rate. For example if you were on a jet plane you'd have no way to tell that you were traveling at 800 kph and not sitting still.
If you do assume that you are at rest when you start it's possible to come up with very crude estimates of speed by tracking acceleration, but in practice, the results are prone to large amounts of "drift error", were small measurement errors quickly add up to a completely wrong current speed result, and so your position drifts around hopelessly.
So in practice, the answer to your question is "no, not really."
Edit:
Thinking about this a little more, you might be able to get usable results if you can impose some assumptions.
Say we assume that the user is on foot. We rule out traveling on a bike/in a car/train/plane. On foot, you really don't "drift". You move in fits and starts as the user takes steps. In fact, you could likely use the accelerometer to recognize the characteristic bounce of a person walking. There are pedometer apps that already do that. For walking, you could probably assume that in the absence of acceleration (ignoring gravity, which is constant), the phone is stationary, so zero out the speed and keep it at zero until there is an acceleration above a certain threshold. That would enable you to reduce drift error.

Position estimation for iOS using accelerometer

In iOS, it is easy to access Linear Acceleration which is equal to subtracting Gravity from Raw acceleration.
I am trying to estimate position by double integrating Linear Acceleration. For that I recorded the data by keeping the phone steady on table.
Then I did double integration in Matlab using cumtrapz but when I plot the position it grows with time.
What am I doing wrong? I was expecting that the position should be 0.
From what I've read this is too error-prone to be useful. Accelerometer based position calculations are subject to small drift errors, which accumulate over time. (If the phone is traveling at 100 kph constant velocity when your app first launches, you can't tell.) All you can measure is acceleration.
There would always been biasing errors from the sensors which can grow with time while integration. Can you calculate the drift of sensor when the device is at rest?. And then try to take the mean of the drift and subtract it from the input so that sensor shows 0 at rest, Then try to double integrate it

Finding the cardinal direction accelerated with an Algorithm for using the magnetometer, accelerometer, and gyro readings

I want to find the cardinal direction accelerated by an iphone. I thought I could just use the accelerometer to do this, however, as you can see from the picture below the accelerometers axes are defined by the device orientation.
I figured that if i used the gyroscope to correct for yaw, spin, rotation then I could get a more accurate reading and not have to hold the phone in the same orientation during movement.
But this still does not tell me what cardinal direction the iphone is moving in. For that I would also have to use the the magnetometer.
Can anybody tell me how to use a three sensor readings to find the cardinal direction accelerated in? I dont even know where to start. I dont even know if the phone takes these measurements at the same rates of time either.
Taking the cross product of the magnetometer vector with the "down" vector will give you a horizontal magnetic east/west vector; from that, a second cross product gets the magnetic north/south vector. That's the easy part.
The harder problem is tracking the "down" vector effectively. If you integrate the accelerometers over time, you can filter out the motion of a hand-held mobile device, to get the persistent direction of gravity. Or, you could, if your device weren't rotating at the same time...
That's where the rate gyros come in: the gyros can let you compensate for the dynamic rotation of the hand-held device, so you can track your gravity in real-time. The classic way to do this is called a Kalman filter, which can integrate (both literally and figuratively) multiple data sources in order to evaluate the most likely state of your system.
A Kalman filter requires a mathematical model both of your physical system, and of the sensors that observe it; each of these models must be both accurate and "sufficiently linear" for the Kalman filter to work properly. As it happens, the iphone/accelerometer/gyro system is in fact sufficiently linear.
The Kalman filter uses both calculus and linear algebra, so if you're rolling your own, you will need a certain amount of math.
Also, as a practical matter, you should understand that physical sensors typically have offsets that need to be compensated for -- in particular, you need to pay attention to the rate gyro offsets in this kind of inertial navigation system, or your tracker will never stabilize. This means you will need to add your rate gyro offsets to your Kalman state vector and system model.

Gravity reading Vs User acceleration reading of the iphone accelerometer?

Iphone accelerometer provides user acceleration and gravity reading? It's clear from the apple guide the user acceleration means, the acceleration than the phone get's from the user. Then what is the meaning of gravity reading? Anyway they have mention total acceleration is the addition of both! I m confused with gravity reading, Can anyone explain me the theory behind this?
Thank you in advance!
The accelerometer measures the sum (user acceleration + gravity). Unfortunately it is of little use, in your application you typically need one or the other. So it is split into components (into user acceleration and gravity) with a sophisticated procedure called sensor fusion.
Gravity points downwards, corresponds to the gravitation. It tells you where downwards is. You can compute tilt angles from it, which may be handy in developing tilt games.
The user acceleration is handy when you are trying to figure out how the phone is shaken. It good for shaking games.
See also accelerometers uses- smartphone
Gravity is an acceleration which is constant an downward. It is indistingishable along its vector from any other constant acceleration. Rotating the phone is going to change the contribution of gravity to each of the acceleration axis proportionate to angle with the ground. Gravity being constant, any change in combined vector length of the three axis should be due to user acceleration.

calculate calories on blackberry

i develop a application that finde the distance between the two points and calculate the speed but we require the calories burn after walk this distance. that i measure it.
I am developing an application that finds the distance between two points and calculates the speed of movement between these points. We require the number of calories burnt after walking this distance. How do I measure it?
This question is pretty off topic and would be better answered by a dietist/nutritionist, but besides the distance and the speed, the biggest factor is the person's weight.
For the constants in the equation, I suggest you just google it and try to decide what works best for you.

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