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# how to measure weight of shaft mounted on lathe machine

hi

i m mech engg student ,,well i m doing project on productivity control in manufacturing industry. i got stuck at one place were i had to measure the wieght of shaft which is mounted on machine,.................pls suggest any mesuring instrument or technique expect the fomula (volume * density)

thanks

akash

i m mech engg student ,,well i m doing project on productivity control in manufacturing industry. i got stuck at one place were i had to measure the wieght of shaft which is mounted on machine,.................pls suggest any mesuring instrument or technique expect the fomula (volume * density)

thanks

akash

**Re: how to measure wieght of shaft munted on lathe machine**

Wow, this is an interesting problem.

I can just think of one possible way if its difficult to measure density / volume. However i suspect the shaft SHOULD have its data sheet somewhere in the office (which gives all the important details like weight).

Anyway, here is a try from my side, (correct anything if its wrong):

I will be assuming the following data:

1. your "Shaft" is a cylinder.

2. Your shaft is connected to a motor which can rotate it.

3. You have all the motor specifications like RPM, Power (kW) etc.

We will use this formula to get the weight:

For cylinder rotating along length..I (Moment of Inertia) is:

So

**Mass(kg)**= ( I[sub]z[/sub] * 2 ) / r[sup]2[/sup]

How to find I (Moment of Inertia) ?:

torque =

**I[sub]z[/sub]**x Alpha (Angular Acceleration in rad/s)

**I[sub]z[/sub]**= Torque in N.m / Angular Acceleration in rad/s[sup]2[/sup]

How to find torque and Angular Acceleration?:

**Torque-N.m**= (60,000 * Power in kWh) / ( 2 * pi * RPM motor rotation speed )

Get power from Motor datasheet, or it will be printed on the motor in kW! Run the motor at constant speed to get RPM from a hand-held tachometer (Use same speed for other calculations).

**For Angular Acceleration**:

use this formula: final A.velocity in rad/s = Initial A.velocity in rad/s + Angular Acceleration * time in seconds.

to use this, start the machine (Initial A.vel = 0) and calculate the time it takes to reach a constant final A.vel in RMP. Convert this final Angular Velocity to RPM by dividing the rad/s with 2pi. Then substitute in above formula to get

**Angular Acceleration**in rad/s[sup]2[/sup].

Do the above and (hopefully) you will get the shaft mass.