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06 Numbers and Powers

Cockroach Robot That Can’t Be Squashed: How It Works

Card No. 06·8237 · Updated · Standard formula, shown below

Load-to-weight ratio 169,895
Robot weight
0.06 g
You entered
Applied load
100 N
You entered
You enter
Robot weight, Applied load
You get
Load-to-weight ratio
Rounding
0 dp

Yes, researchers have built a cockroach-inspired robot that is virtually impossible to squash by stepping on it. The key is its tough, flexible exoskeleton and a flattened, arched shape that lets it withstand forces thousands of times its own weight. This article explains how the robot achieves this, the science behind it, and what it means for real-world applications.

Formula

The calculator above works out the load-to-weight ratio of a robot, which is a common measure of its resilience. The formula is:

Ratio = Load (N) / (Weight (g) / 1000 × 9.81 m/s²)

Where:

  • Load is the force applied (in newtons, N).
  • Weight is the robot’s mass in grams (g). Divide by 1000 to get kilograms, then multiply by 9.81 (standard gravity) to convert mass to force in newtons.

The result is a dimensionless number showing how many times its own weight the robot can withstand. A higher ratio means greater resilience.

Worked Example

Using the default values: a robot weighing 0.06 g (about the mass of a real cockroach) and a load of 100 N (roughly the force of a human step).

  1. Convert weight to kg: 0.06 g / 1000 = 0.00006 kg
  2. Convert mass to force: 0.00006 kg × 9.81 m/s² = 0.0005886 N
  3. Calculate ratio: 100 N / 0.0005886 N = 169,893

The robot can withstand a force about 170,000 times its own weight. That is the same order of magnitude reported in scientific studies of such robots.

Background: The Cockroach Inspiration

Cockroaches are famously hardy insects. They have existed for over 300 million years and can survive extreme conditions. Their exoskeleton is a lightweight but tough shell made of chitin and protein. More importantly, their body is low and arched, which distributes pressure evenly when something presses down on them. This shape allows them to squeeze under doors and survive being stepped on. Researchers at institutions like the University of California, Berkeley, have studied this and built robots that mimic the same principles. The first such robot, called CRAM (Compressible Robot with Articulated Mechanisms), was introduced around 2016. It used a flexible shell and legs that could splay outward, allowing it to flatten itself and keep moving even under heavy loads.

How the Robot Works

The robot’s resilience comes from two main features:

  • Flexible exoskeleton: The shell is made of a thin, curved sheet of a polymer or similar material. It can deform under pressure without cracking, and springs back to its original shape when the pressure is removed.
  • Sprawled legs: The legs are attached at the sides of the body, not underneath. When a load is applied, they splay outward, allowing the body to flatten. This increases the contact area and reduces the pressure on any single point.

In tests, the robot can withstand forces of up to about 100 newtons – roughly the weight of a 10 kg object – while still being able to crawl. It can squeeze through gaps only a few millimeters high, just like a real cockroach.

Why It Matters: Applications

This type of robot is not just a scientific curiosity. Its ability to survive crushing forces and squeeze into tight spaces makes it useful for:

  • Search and rescue: After an earthquake, robots could crawl through rubble to find survivors, where human rescuers or larger robots cannot go.
  • Inspection: Checking inside pipes, machinery, or other confined spaces without needing to take them apart.
  • Environmental monitoring: Measuring conditions in burrows or under debris in the wild.

The robots are still in the research stage, but they demonstrate a promising approach to building machines that are both small and durable.

Common Misconceptions

One common misconception is that the robot is indestructible. It is not. It can withstand a typical human step, but a heavy vehicle or a deliberate crushing force will still damage it. The design is optimized for a specific range of pressures. Another misconception is that the robot is made of metal. In fact, most prototypes use polymers or composite materials that are flexible and lightweight. Metal would be too stiff and heavy.

Comparisons: Real Cockroach vs. Robot

While the robot mimics the cockroach’s shape and resilience, there are differences:

  • Speed: A real cockroach can run up to 1.5 m/s. The robot is slower, typically around 0.2 m/s.
  • Agility: Real cockroaches can climb walls and turn quickly. The robot is more limited in its movements.
  • Autonomy: The robot needs a power source and often a tethered control. A cockroach is fully autonomous.

Still, the robot’s ability to withstand pressure is comparable to or even better than the insect’s, because the materials can be engineered to have specific properties.

Limitations and Future Work

Current prototypes have several limitations. They are often tethered to a power supply and a computer, which limits their range. The batteries that could make them wireless add weight and reduce their resilience. The robots also have limited sensing capabilities – they cannot navigate complex environments on their own. Future research aims to integrate onboard power, sensors, and control systems while maintaining the crush-resistant shell. There is also work on making them faster and more agile, perhaps by improving leg design and actuation.

Frequently Asked Questions

Can this robot really survive being stepped on?

Yes, in laboratory tests, the robot can withstand a force of about 100 newtons, which is similar to the force of a human footstep. The flexible shell and splayed legs distribute the load so that no single part breaks.

How much does it weigh?

The prototype weighs about 0.06 grams – roughly the same as a real cockroach. That is extremely light, which helps it survive impacts because the force is spread over a large area relative to its mass.

Is it made of metal?

No, the shell is typically made of a flexible polymer or a composite material. Metal would be too rigid and heavy, and it would not spring back into shape after deformation.

Can I buy one?

No, these robots are research prototypes. They are not commercially available. They are built in university labs to test concepts, not for consumer use.

Will this technology be used in real rescue missions?

Potentially, but not yet. The robots need to be more autonomous, durable, and equipped with sensors before they can be deployed in real disaster zones. Researchers are working on those improvements.

How does it move when squashed?

When a load is applied, the legs splay outward and the body flattens. The robot can still push itself forward using a crawling motion, because the legs can still move even in the flattened position. Once the load is removed, the shell springs back to its original shape.

Related

Formula used
in weight | Robot weight | g | 0.06 | 0 | 1000
in load | Applied load | N | 100 | 0 | 10000
out ratio | Load-to-weight ratio | - | load / (weight / 1000 * 9.81) | 0

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.

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