- #1
How to Calculate Beta Angle for Pulley B in a Frictional Belt and Pulley System?
In summary, the conversation discusses the calculation of beta = 120 degrees for pulley B, which is obtained by subtracting the given angle of 60 degrees from 180 degrees. The conversation also explores the idea of using circles and lines to simulate a rubber band around two pulleys, with the conclusion that adding blue arcs from both circles always equals 360 degrees and the blue and yellow arcs are equal in terms of contact angle. The conversation further explains that the reference point for the angle can be changed from the top of the pulley to the bottom of the second pulley, and since the reference points are perpendicular to the belt on both pulleys, they are parallel to each other and the angle references can be translated from the larger pul
- #2
masterflex
- 17
- 0
I was thinking about it and drawing circles and lines. Can you tell me if this is a general rule (please look at attachment where I draw circles): when lines are drawn (simulating a rubber band around 2 pulleys), adding blue arcs from both circles will always equal 360 degrees? The blue arc from one circle, and the yellow arc from the other circle are equal in terms of the contact angle, yes?
Attachments
- #3
Double A
- 31
- 0
They get beta = 120 from the given angle of 60 degrees.
180 - 60 = 120 degrees
The 60 degrees is referancing from the top of the pulley. To change the referance point to the bottom of the second pulley they performed the above calculation.
Also, since their referance point is perpendicular to the belt on both pullies they are parallel to each other so the angle referances can then be translated from the larger pulley to the smaller pulley.
180 - 60 = 120 degrees
The 60 degrees is referancing from the top of the pulley. To change the referance point to the bottom of the second pulley they performed the above calculation.
Also, since their referance point is perpendicular to the belt on both pullies they are parallel to each other so the angle referances can then be translated from the larger pulley to the smaller pulley.
Last edited:
- #4
masterflex
- 17
- 0
cool, thx.
FAQ: How to Calculate Beta Angle for Pulley B in a Frictional Belt and Pulley System?
What is friction in the context of a belt and pulley system?
Friction is the force that resists the relative motion of two surfaces in contact. In a belt and pulley system, friction occurs between the surface of the belt and the pulley, which allows the pulley to rotate and transfer motion.
How does friction affect the efficiency of a belt and pulley system?
Friction can decrease the efficiency of a belt and pulley system by converting some of the applied force into heat, which results in energy loss. This can be minimized by using lubricants and ensuring proper alignment and tension of the belt.
Can friction be beneficial in a belt and pulley system?
Yes, friction can be beneficial in a belt and pulley system as it allows for the transfer of motion and power between the belt and pulley. It also helps to prevent slipping of the belt on the pulley, ensuring smooth and efficient operation.
How does the coefficient of friction affect a belt and pulley system?
The coefficient of friction refers to the ratio of the force of friction to the normal force between two surfaces. In a belt and pulley system, a higher coefficient of friction between the belt and pulley results in a stronger grip and better power transfer.
What are some common ways to reduce friction in a belt and pulley system?
Some common ways to reduce friction in a belt and pulley system include using lubricants, maintaining proper alignment and tension, and using materials with lower coefficients of friction. Additionally, using pulley bearings and ensuring clean surfaces can also help reduce friction.