Acceleration Calculator

Angular acceleration

Angular acceleration plays a vital role in the description of rotational motion. However, don’t confuse it with the previously mentioned centripetal or tangential accelerations. This physical quantity corresponds to the rate of change of angular velocity. In other words, it tells you how fast an object’s rotations accelerate – the object spins faster and faster (or slower and slower if angular acceleration is less than zero). Check out our angular acceleration calculator for more information.

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Did you know that we can find an analogy between this and Newton’s law of dynamics in rotational motion? In his second law, if you can switch acceleration with angular acceleration, force with torque, and mass with moment of inertia, you’ll end up with the angular acceleration equation. You might notice that some physical laws, like this one, are universal, which makes them really important in physics.

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Gravitational acceleration

We mentioned acceleration due to gravity a few times earlier. It arises from the gravitational force that exists between every two objects that have mass (note that the gravity equation isn’t dependent on an object’s volume – only mass is essential here). It may sound weird at first, but according to the third Newton’s law of motion, you act with the same force on the Earth as the Earth acts on you. However, the mass of the Earth is much bigger than a human mass (~10²² times bigger), so our impact on the Earth is pretty much zero. It’s analogous to all the bacteria (~10¹⁸ times lighter than a human) living on your hand; you can’t even notice them! On the other hand, we can feel the influence of our planet, and that’s the acceleration due to gravity.

Standard gravity is, by definition, 31.17405 ft/s² (9.80665 m/s²), so if a human weighs 220 lb (about 100 kg), he is subjected to the gravitational force of about 7000 pdl (1000 N). Let’s enter this value into window #3 of our calculator along with the mass of the Earth (1.317 × 10²⁵ lbs or 5.972 × 10²⁴ kg in scientific notation). What is the calculated acceleration? It is so small that our calculator considers it to be zero. We mean nothing compared to the planet!

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Particle accelerator

After talking about huge objects in space, let’s move to the microscopic world of particles. Although we can’t see them with our eyes, we have harnessed high-energy particles, like electrons and protons, and use them regularly in particle accelerators, common in physics, chemistry, and medicine. We use them to kill cancer cells while sparing the surrounding healthy tissue or investigate a material’s structure at the atomic scale. Recently, cancer is one of the diseases of affluence that probably result from the increasing wealth in society.

You probably know about the Large Hadron Collider (CERN), the most powerful particle accelerator in the world. It allows us to take a step further to understand how the universe works and develop technologies that may have many essential applications in the future. However, to achieve such high energies, we have to accelerate particles to speeds that are close to the speed of light. Briefly, we can do it using magnetic or electric fields.

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