Calculating braking force for a disc

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SUMMARY

The discussion centers on calculating the braking force required for a rotating disc system, specifically a turntable driven by a direct drive servo motor. The user initially applied the incorrect formula for torque, using angular velocity instead of angular acceleration, leading to a miscalculation of 112.85 Nm. The correct formula for torque is T = I α, where T is torque, I is the moment of inertia (185 kgm²), and α is angular acceleration (10 deg/sec²). The user seeks to implement a fail-safe braking mechanism that engages when the motor power is cut off.

PREREQUISITES
  • Understanding of rotational dynamics, specifically torque and angular acceleration.
  • Familiarity with the concept of moment of inertia in mechanical systems.
  • Knowledge of direct drive servo motors and their braking capabilities.
  • Basic principles of mechanical braking systems and their design considerations.
NEXT STEPS
  • Research the application of the formula T = I α for various mechanical systems.
  • Explore different types of braking systems suitable for direct drive servo motors.
  • Learn about fail-safe mechanisms in motor control systems.
  • Investigate energy dissipation methods in braking systems to optimize performance.
USEFUL FOR

Mechanical engineers, system designers, and anyone involved in the design and implementation of braking systems for rotating machinery, particularly in applications involving direct drive motors.

Shady99
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Hello everyone,i am new here.

I have a basic design problem that i am not confident about and require help.

I have a disc with components on it and the disc is rotating with angular speed of 35 deg/sec(0.61 rad/sec).The moment of inertia of my disc+ component assembly is 185 kgm2.

I have to select an OEM brake for the system. As far as i know, the torque required to select the brake can be found by the formula i.e. Torque=moment of inertia x angular speed,which comes out to be 112.85 Nm . Is it the correct way to solve my problem .Please help. Thankyou
 
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Shady99 said:
Hello everyone,i am new here.

I have a basic design problem that i am not confident about and require help.

I have a disc with components on it and the disc is rotating with angular speed of 35 deg/sec(0.61 rad/sec).The moment of inertia of my disc+ component assembly is 185 kgm2.

I have to select an OEM brake for the system. As far as i know, the torque required to select the brake can be found by the formula i.e. Torque=moment of inertia x angular speed,which comes out to be 112.85 Nm . Is it the correct way to solve my problem .Please help. Thankyou

Your formula is incorrect.

T = I α

where,

T = torque, N-m
I = mass moment of inertia for the disk, kg-m2
α = angular acceleration (not angular velocity), in rad/s2

This formula calculates only the torque required to change the angular velocity of the disk. If the disk is rotating at a constant angular velocity, then the only torque input required is that to overcome friction in the bearings, for example.

IIRC, most brakes are designed according to the energy which must be dissipated in stopping whatever mechanism they are attached to.

Your rotor is turning at less than 6 RPM, based on an angular velocity of 35°/s, which seems pretty slow. It's hard to advise further without knowing what you are trying to stop with the brake.

I would recommend that you consult with a sales engineer at the particular brake manufacturer for more guidance in selecting the proper brake.
 
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SteamKing said:
Your formula is incorrect.

T = I α

where,

T = torque, N-m
I = mass moment of inertia for the disk, kg-m2
α = angular acceleration (not angular velocity), in rad/s2

This formula calculates only the torque required to change the angular velocity of the disk. If the disk is rotating at a constant angular velocity, then the only torque input required is that to overcome friction in the bearings, for example.

IIRC, most brakes are designed according to the energy which must be dissipated in stopping whatever mechanism they are attached to.

Your rotor is turning at less than 6 RPM, based on an angular velocity of 35°/s, which seems pretty slow. It's hard to advise further without knowing what you are trying to stop with the brake.

I would recommend that you consult with a sales engineer at the particular brake manufacturer for more guidance in selecting the proper brake.
thankyou for reply...Actually my system is a turntable...my system consists of a direct drive motor that is driving a shaft connected to disc,the disc has certain modules on it...now the problem is that the direct drive doesn't have brakes, so i plan to install a brake to stop the motion once i power off the motor...the maximum system speed is 35 deg/ sec and the acceleration is 10 deg/sec2...now when the system is moving with 35deg/sec, i want to cut off the motor power and apply the brakes to stop the system...whats your take on this...please help
 
Use the motor for braking .
 
I want to de energise the motor and apply brakes to test a specific condition
 
What kind of motor is it? Depending on the type you can make the motor into a brake easily.

Can you replace the motor or add another one?

BoB
 
Motor is a direct drive servo motor...i can add a motor but its will not serve the purpose...i want to apply brakes when i de energise the motor...i mean when i cut system power off then the brakes should engage
 
So this is a fail-safe mechanism?

BoB
 
Well this is an experiment i want to perform...i want to bring the system speed to 35 deg/sec and then turn off system power off...now as i wud put those brakes tht engage on power cut off so my system will stop
 
  • #10
Post a clear sketch of what you have with basic dimensions .
 

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