Calculation of time taken for a motor to rotate an object 360 degrees

In summary, it would seem that you need to take into account the weight of the object being rotated and the rotational speed of the shaft in order to calculate the time taken for the motor to rotate the attached beam 360 degrees.
  • #1
physicsguy113
3
0
Homework Statement
https://media.digikey.com/pdf/Data%20Sheets/Makeblock%20PDFs/80047_Web.pdf
Relevant Equations
V=IR
SUVAT
Speed= distance/time
How would I go about calculating the time taken for the motor on page 2 to move the attached beam 360 degrees?

Things such as the rpm and voltage are given in the attached data sheet for various different motors and you can reference anyone you like. I'm more interested in understanding what's going on.

I want to understand how to work out the question.
e.g. What equations do I need to use. Do I need any extra information before I can fully answer my above question.
So far I'm thinking I need to use the rpm, voltage and maybe the gear ratio( but I'm not entirely sure what that is!) Any help or hints would be appreciated.

https://media.digikey.com/pdf/Data%20Sheets/Makeblock%20PDFs/80047_Web.pdf
 
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  • #2
Welcome to PF @physicsguy113.
:welcome:

According to our rules, you need to show some effort towards the answer before receiving help.
 
  • #3
Oh ok,
Sorry, I'm new to this forum!

For the 185rpm motor with a gear ratio of 1:45. I would calculate the time taken for the motor to rotate 360 degrees as: ((185/45)/60)*360 = 24.6s to turn 360 degrees. Is this correct. If so great! If not where have I gone wrong?
 
  • #4
The 185 rpm motor shaft makes one revolution or turns by 360o every 60/185 seconds.
As I understand it, a gear ratio of 1:45 means that the driven gear makes 45 revolutions for every one revolution of the driver gear. So the time it takes for the driven gear to make one revolution or turn by 360o is (1/45)th of 60/185 seconds.
 
  • #5
Welcome, physicsguy113! :cool:

Please, note that the pictures show no beam to be rotated by the motor, but what they call a “DC Motor-25 Bracket”, which a support for the body of the motor, leaving theshaft free to rotate.

I may be wrong, but it seems to me that the shown 16 rpm are the actual rotational speed of the shaft you see in the pictures.

This is an assembly of an electric motor and a planetary gear box that reduces the rotational speed coming from the motor, providing an increased torque of the output shaft.

The show table lists motors that rotate in the ball park of 700 rpm each.
You can see that the listed reduction and shaft speed are related to a number close to 700 for all the options.
 
  • #6
Lnewqban said:
Welcome, physicsguy113! :cool:

Please, note that the pictures show no beam to be rotated by the motor, but what they call a “DC Motor-25 Bracket”, which a support for the body of the motor, leaving theshaft free to rotate.

I may be wrong, but it seems to me that the shown 16 rpm are the actual rotational speed of the shaft you see in the pictures.

This is an assembly of an electric motor and a planetary gear box that reduces the rotational speed coming from the motor, providing an increased torque of the output shaft.

The show table lists motors that rotate in the ball park of 700 rpm each.
You can see that the listed reduction and shaft speed are related to a number close to 700 for all the options.
Oh yeah, the reason I mentioned rotating a beam is because I am working on a project and have designed a component which would be rotated by the 185RPM model motor. Therefore, I was wondering how do I take into account the weight/size of the object the motor will be rotating in order to work out the time taken for one revolution of my component, or is this not necessary?

Also, thanks for all the responses so far. It's really helpful to have different ideas to consider and also clarify some of my thoughts too!
 
  • #7
physicsguy113 said:
Oh yeah, the reason I mentioned rotating a beam is because I am working on a project and have designed a component which would be rotated by the 185RPM model motor. Therefore, I was wondering how do I take into account the weight/size of the object the motor will be rotating in order to work out the time taken for one revolution of my component, or is this not necessary?

Also, thanks for all the responses so far. It's really helpful to have different ideas to consider and also clarify some of my thoughts too!
I have no experience working with this type of motors; soon you will see more posts from more experienced members.
I don't know how this type reacts to resistive forces and torques, which are the main things to consider in your mechanism and for different stages of the overall movement.

For example, if your beam must be rotated from a state of repose to certain constant speed, its angular inertia will induce a resistive torque during certain period of time.
During that transitional time, the rotational speed of the shaft may or may not be significantly reduced.
 

FAQ: Calculation of time taken for a motor to rotate an object 360 degrees

1. How do you calculate the time taken for a motor to rotate an object 360 degrees?

To calculate the time taken for a motor to rotate an object 360 degrees, you need to know the angular velocity of the motor and the moment of inertia of the object. The formula for calculating time is: Time = (2π * Moment of Inertia) / Angular Velocity.

2. What is angular velocity?

Angular velocity is the rate at which an object rotates around a fixed axis. It is measured in radians per second (rad/s) and can be calculated by dividing the angle of rotation (in radians) by the time taken to complete the rotation.

3. How do you determine the moment of inertia of an object?

The moment of inertia of an object depends on its mass and how that mass is distributed around its axis of rotation. It can be calculated using the formula: Moment of Inertia = Mass * (Distance from axis of rotation)^2.

4. Can the time taken for a motor to rotate an object 360 degrees be affected by external factors?

Yes, the time taken for a motor to rotate an object 360 degrees can be affected by external factors such as friction, air resistance, and the load on the motor. These factors can slow down the rotation and increase the time taken.

5. How can the calculation of time taken for a motor to rotate an object 360 degrees be useful?

This calculation can be useful in various applications, such as designing and optimizing motor systems, determining the efficiency of a motor, and predicting the performance of a motor in different conditions. It can also be used to troubleshoot any issues with the motor's rotation speed.

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