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An Introduction to Mechanisms

1 Pulleys

Learn It

  • A Pulley is a wheel on a shaft that can move a belt along it's circumference.
  • Pulleys can be used to lift loads and transmit motion.

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Learn It

  • We can use pulleys to increase or decrease the speed of rotary motion.
  • Look at the diagram below

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  • The driver pulley has a diameter of 40mm and revolves at 100 revolutions per minute (rpm).
  • The driven pulley has a diameter of 120mm
  • If we want to calculate the rpm of the driven pulley, we first need to find out the velocity ratio.

VR_formula.PNG

  • So in this case we can see that…

VR_formula_in.PNG

  • The output speed of a pulley system is calculated as follows.

SR_formula.PNG

  • So in this case we can see that

SR_formula_in.PNG

  • So the driven pulley will rotate at 33.3rpm.

Badge It - Silver

  • Click on this link to complete the quiz based on the calculations below.
    1. A driver pulley has a diameter of 400mm and rotates with a speed of 60rpm. Calculate the speed of a driven pulley with a diameter of 100mm.
    2. A driver pulley has a diameter of 40mm and rotates with a speed of 250rpm. Calculate the speed of a driven pulley with a diameter of 200mm.
    3. A driver pulley has a diameter of 100mm and rotates with a speed of 25rpm. Calculate the required diameter of a driven pulley if we want it to rotate at 75rpm.
    4. We have a driver pulley with a diameter of 120mm. And a driven pulley with a diameter of 40mm. What speed will the driver pulley need if the driven pulley must rotate at a speed of 90rpm?
    5. A driven pulley has a diameter of 10mm and must rotate at a speed of 200rpm. What diameter will the driver pulley need if it can only rotate at 50rpm?

Badge It - Gold

  • Use the Wacano sets to put together the following mechanisms:
    1. A 1:2 pulley ratio
    2. A 2:3 pulley ratio
    3. A 1:1 pulley ratio that reverses the direction of rotation
  • Photograph your work and put them all onto one document and upload this.

Learn It - Pulley Systems

  • We can also use Pulley Systems to lift loads.
  • A pulley system makes it easier to lift an object than lifting the weight by hand. A single pulley essentially changes the direction of the pull or force applied.
  • When a person uses two or more pulleys in a system, then the system also multiplies the force applied in addition to changing direction.
  • With one fixed and one movable pulley in a system, it essentially doubles the weight of the load you could lift without help from another person based upon which heavy objects you can lift.
  • A pulley is an example of a simple machines work to reduce the force required to move an object, but the amount of work done will always remain the same. Work is a value that describes how a force (F) is exerted over a certain distance (d): Work = Force X Distance.
  • As less force is needed to move a heavy weight, the distance required to move it will actually increase based on the simple machine.
  • So a simple pulley system that cuts the force in half, will double the distance of rope that will be used, resulting in equivalent work.

Here is an example of 6 pulley system - note the size of the pulley does not matter.

Diagram showing a pulley system with a 6:1 mechanical advantage

Badge It - Platinum

  • Look at the photos below and set up the same pulley system with your Wacano set.
  • What is the relationship between the length of string you pull through the top pulley, and the height the second pulley moves?
  • Does this ratio alter if you use different sized pulleys?

Compound_pulley1.JPGCompound_pulley2.JPG

Compound_pulley2.JPG

Extension Task

 - Build a 6:1 pulley on Solidworks.
 
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