ramirez.michael16
ramirez.michael16 5d ago โ€ข 0 views

Ideal vs Real pulleys: Understanding the differences

Hey everyone! ๐Ÿ‘‹ Ever wondered why the pulley in your textbook seems so perfect, but the ones you see in real life are... well, not quite as smooth? ๐Ÿค” Let's break down the difference between ideal and real pulleys!
โš›๏ธ Physics

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kristin_walker Dec 28, 2025

๐Ÿ“š Introduction to Ideal and Real Pulleys

In physics, we often start with simplified models to understand the basic principles. Ideal pulleys are one such simplification. However, real-world pulleys behave differently. Let's explore the key differences.

๐ŸŽฏ Defining an Ideal Pulley

An ideal pulley is a theoretical model that assumes several perfect conditions. It has zero mass, experiences no friction, and the rope or cable used is considered perfectly flexible and inextensible. In essence, it's a perfectly efficient machine that transfers force without any loss.

โš™๏ธ Defining a Real Pulley

A real pulley, on the other hand, exists in the physical world. It possesses mass, experiences friction at the axle and within the rope, and the rope itself might stretch slightly. These factors lead to energy losses, making real pulleys less efficient than their ideal counterparts.

๐Ÿ“Š Comparison Table: Ideal vs. Real Pulleys

Feature Ideal Pulley Real Pulley
Mass Zero Non-zero (has mass)
Friction No friction Experiences friction at the axle
Rope/Cable Massless, perfectly flexible, inextensible Has mass, may stretch, experiences internal friction
Efficiency 100% efficient Less than 100% efficient due to energy losses
Energy Loss No energy loss Energy loss due to friction and deformation
Work Input vs. Output Work input = Work output Work input > Work output (due to losses)
Mathematical Representation Simplified equations More complex equations accounting for losses

๐Ÿ”‘ Key Takeaways

  • โœจ Ideal pulleys are theoretical constructs used to simplify physics problems.
  • ๐Ÿ”ฅ Real pulleys are physical objects with mass, friction, and other inefficiencies.
  • ๐Ÿ“‰ Efficiency is a crucial factor: Ideal pulleys are 100% efficient, while real pulleys are less than 100%.
  • ๐Ÿงฎ Work done is equal in ideal pulleys ($W_{in} = W_{out}$), but work input is greater than output in real pulleys ($W_{in} > W_{out}$) due to energy losses.
  • ๐Ÿ’ก Understanding the difference helps in analyzing real-world scenarios and designing more effective mechanical systems.
  • ๐Ÿ”ฉ Real-world applications always need to account for these inefficiencies to accurately predict performance.
  • ๐Ÿ”ฌ Experiments and measurements are essential to determine the efficiency of a real pulley system.

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