# Arm Wrestling and Torque

7.12

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Arm wrestling isn’t just a test of strength. It’s also a test of how well you understand torque.

Do you remember the last time you were in an arm wrestling match? Maybe it was a rainy lunchtime at school and you and your friends decided to try to prove your strength by arm wrestling? With everyone crowded around the table, you would challenge each other to see who was the strongest. Maybe you were a better cheerleader than arm wrestler, and you weren’t very good at winning matches. Maybe you just weren’t as strong as some of the other kids. What you probably didn’t know, though, is that there is more to arm wrestling than just strength.

Arm wrestling is all about **torque** (symbol τ), which is the **force** needed to cause an object to rotate around its **axis**. The SI unit for torque is **N·m** (or Newton meters). In an arm wrestling match, whoever creates the most torque is likely going to win.

Did you know?

Arm wrestling is actually an organized sport that was founded by a California newspaper columnist named Bill Soberanes in 1952. There are competitions at the local, national, and international levels.

There are three factors that determine the amount of torque on an object:

1) the force applied to the object (**force vector**)

2) the distance between the axis of rotation and the force being applied (**distance vector**)

3) the angle between the force vector and the distance vector (?)

The relationship between force, distance, and torque can be seen in the mathematical expression:

**Torque = Force x Distance **

To increase torque, either increase the force being applied or the distance between the point where force is being applied and the axis of rotation (the **moment arm**).

To understand this, let’s first imagine a door. The door has hinges on one side. To successfully open the door, you need to apply a force. This force will cause the door to rotate about its hinges, or its **axis of rotation**.

But do you know of any buildings that have doors with handles across the front instead of doorknobs? You might have seen these in your school, or in an apartment building. Have you ever tried to open one of these doors by pushing close to the hinges? It won’t work, even if you use all of your strength. But if you push the handle on the side furthest away from the hinges, the door easily swings open. That’s because you have increased the distance between the force (you) and the axis of rotation (the door’s hinges).

In the case of an arm wrestling match, the object is your opponent’s hand and their elbow is the axis of rotation. Your ultimate goal is to apply enough force on your opponent’s hand so that your opponent’s forearm rotates at the elbow and ends up touching the table.

Of course, your opponent is trying to do the exact same thing to you. So an arm wrestling match is basically a contest of who can create the most torque.

Because** Torque = Force x Distance**, you can see how being strong might help. More strength will produce more force. But there is a little more to this equation. When you arm wrestle, you’re trying to get our opponent’s hand on the table -- in other words, down. But in arm wrestling, the general strategy is to pull forward. Why is that?

The third component of torque is the angle at which the force is applied. Torque is at its maximum when the force is applied **perpendicular **to the moment arm. In other words, when the force is applied 90° to the direction of rotation. Angles of less than 90° result in less torque. If the force is applied parallel to the moment arm, there is no torque. What this means for arm wrestling is that you can get the most torque when you apply the force 90° from the direction that you want your object to end up going.

Think back to the door example. Your elbow is like the hinge. Your opponent’s hand is like the point on which you push the door handle. The force is applied to your opponent’s hand as you attempt to push to push it towards the table. The distance from where you are applying the force (their hand) to their elbow will determine how much torque you are able to apply.

Did you know?

People may have actually been arm wrestling since 2 000 BCE. Paintings depicting a form of arm wrestling have been found in Egyptian tombs.

In an arm wrestling match, there are two ways to increase torque (without cheating, of course). First, you can increase the amount of force you produce. This would mean you’d have to go to the gym regularly and get much stronger. Alternatively, you can increase the distance from where you are applying the force to the axis of rotation. In other words, you can increase the horizontal distance from your opponent’s hand to their elbow. There are a few ways you can do this.

You may already know that professional arm wrestlers are very strong. However, the techniques they use are almost as important as how strong they are. The two most common arm wrestling techniques are the “hook” and the “top-roll.”

In the hook technique, you roll your wrist forward around your opponent's in a "hooking" motion, which deprives them of** leverage**. It also allows you to use your shoulder and back muscles to help your arm muscles.

In the top-roll technique, you rotate your wrist over the top of your opponent’s wrist so that your grip is higher on their hand. From there, you pull your hand towards your body to cause your opponent to lose their balance and leverage.

You can even use the top-roll and hook techniques in conjunction with one another!

Both techniques involve rotating your opponent’s hand towards you, which increases the distance from their hand and their elbow. This way, the force you apply is creating more torque. At the same time, it’s causing your opponent to apply less torque. This gives you an advantage and improves your odds of winning!

When you arm wrestle, being strong will give you an advantage. But knowing how to increase the distance from your opponent’s elbow to where you are applying force will also help you win. Remember: arm wrestling isn’t just a test of strength. It’s also a test of your understanding of physics. So the next time you find yourself dueling it out against your friends, don’t forget to flex your muscles and your knowledge of torque!

- Have you ever been in an arm wrestling match? Did you win or lose? Considering the explanation of torque provided in the article and video, how did the winner have an advantage?
- Do you consider arm wrestling a “real” sport? Why or why not?
- Do you participate in a sport that involves understanding torque? If so, which sport(s)?

- What is torque?
- What are some other everyday examples of torque in action?
- How can you increase torque to your advantage in an arm wrestling match? How can you reduce torque for you your competitor, to gain the competitive advantage?
- When you take nut off a bolt with a wrench, you are using torque. Would you choose a short wrench to do this or a long wrench? Why? (Hint: Do you want to increase torque or decrease torque?)

- This article and embedded video can be used in Physics and Dynamics for teaching and learning related to torque, circular motion and dynamics. Concepts introduced include torque, force, axis, force vector, distance vector, moment arm, axis of rotation, Torque = Force x Distance, perpendicular and leverage.
- After reading the article and viewing the video, teachers could have students use a Print-Video Venn Diagram learning strategy to compare and consolidate the information presented in both sources. Ready-to-use Print-Video Venn Diagram reproducibles are available in [Google doc] and [PDF] formats.
- Teachers could also have students complete a Concept Definition Web learning strategy to consolidate their understanding of the concept of torque. Ready-to-use Concept Definition Map reproducibles are available in [Google doc] and [PDF] formats.
- For a hands-on follow-up activity, teachers could have students try to apply their new understanding of torque and how to maximize torque by trying to arm wrestle a classmate, or in a round robin style arm wrestling match.

- Have you ever been in an arm wrestling match? Did you win or lose? Considering the explanation of torque provided in the article and video, how did the winner have an advantage?
- Do you consider arm wrestling a “real” sport? Why or why not?
- Do you participate in a sport that involves understanding torque? If so, which sport(s)?

- What is torque?
- What are some other everyday examples of torque in action?
- How can you increase torque to your advantage in an arm wrestling match? How can you reduce torque for you your competitor, to gain the competitive advantage?
- When you take nut off a bolt with a wrench, you are using torque. Would you choose a short wrench to do this or a long wrench? Why? (Hint: Do you want to increase torque or decrease torque?)

- This article and embedded video can be used in Physics and Dynamics for teaching and learning related to torque, circular motion and dynamics. Concepts introduced include torque, force, axis, force vector, distance vector, moment arm, axis of rotation, Torque = Force x Distance, perpendicular and leverage.
- After reading the article and viewing the video, teachers could have students use a Print-Video Venn Diagram learning strategy to compare and consolidate the information presented in both sources. Ready-to-use Print-Video Venn Diagram reproducibles are available in [Google doc] and [PDF] formats.
- Teachers could also have students complete a Concept Definition Web learning strategy to consolidate their understanding of the concept of torque. Ready-to-use Concept Definition Map reproducibles are available in [Google doc] and [PDF] formats.
- For a hands-on follow-up activity, teachers could have students try to apply their new understanding of torque and how to maximize torque by trying to arm wrestle a classmate, or in a round robin style arm wrestling match.

How To Win At Arm Wrestling (2014)

Video (2:05 min.) from Buzzfeed Multiplayer puts a dramatic twist on the science behind arm wrestling.

What Muscles Are Worked Out in Arm Wrestling? (2018)

Article by Caroline Bodian about all the different muscles that are involved in arm wrestling.

It’s all in the wrist: Local arm-wrestler is within reach of national title (2017)

A news story by Jesse Granger for the Las Vegas Sun showcasing an ameteur Californian arm wrestling competitor.

College of Micronesia. (n.d.). *Levers and torque*.

Khan Academy. (2019). *Torque*.

Little Shop of Physics. (2014). *EveryDay science: Forces and torques part 2*.

Ultimate Armwrestling League. (n.d.). *The history of armwrestling*.

Zidbits. (2013, March 14). *Are people with shorter arms better arm wrestlers?*