What formula is used to calculate angular velocity?

Angular velocity is calculated using ω = θ/t or ω = 2π/T.

Is this angular velocity calculator free?

Yes, this angular velocity calculator is completely free and available online.

⚡ Angular Velocity Calculator (RPM ↔ rad/s) | ω = 2πf Tool

⚡ Angular Velocity Calculator (ω)

Q: What is angular velocity?

Angular velocity is the rate at which an object rotates around an axis, measured in radians per second.

Q: What is the SI unit of angular velocity?

The SI unit of angular velocity is radians per second (rad/s).

Q: Is angular velocity constant in circular motion?

Yes, in uniform circular motion angular velocity remains constant.

📘 Instantly calculate angular velocity using RPM, Frequency or Time Period.

Enter Value: Select Input Type:

Important Formulas:

ω = 2πf
ω = 2π / T
ω = (2π × RPM) / 60

Where:
ω = Angular Velocity (rad·s⁻¹)
f = Frequency (Hz)
T = Time Period (s)

✍️ Author & Academic Authority: Dr. Nitish Kr. Bharadwaj
📘 Qualifications: B.Sc., B.Ed., M.Sc., Ph.D. (Biochemistry), MBA (Financial Management)

🔎 Angular velocity Calculator with circular motion example

⚙️ Angular Velocity Calculator is a powerful online physics tool designed to instantly compute angular velocity (ω) in rad/s, deg/s, or revolutions per second, using scientifically accurate rotational motion formulas.

📐 In physics, angular velocity measures how fast an object rotates around a fixed axis. Unlike linear velocity, it focuses on rotational dynamics, making it essential for circular motion, mechanical systems, and real-world engineering applications.

🚀 This free angular velocity calculator eliminates manual calculations, minimizes human error, and delivers instant, precise results, making it ideal for:

Students 📘
Engineers 🛠️
Teachers 👨‍🏫
Competitive exam aspirants (IIT-JEE, NEET, SAT) 🎯

✨ Formula Used: $\omega = \frac{\theta}{t} \quad \text{or} \quad \omega = \frac{2\pi}{T}$

✅ Applications of Angular Velocity in Daily Life 🌍

🔄 Angular velocity is not just theoretical—it governs many real-world systems:

🚗 Automobile wheels & engine crankshafts
🕰️ Analog clocks (second, minute, hour hands)
🌀 Ceiling fans & turbines
🌍 Earth’s rotation and planetary motion
🎡 Ferris wheels and amusement rides
⚙️ Robotics, motors, and mechanical gears

📌 Engineers rely on angular velocity to optimize torque, rotational stability, and energy efficiency.

⚠️ Disclaimer

This Angular Velocity Calculator is intended for educational, academic, and reference purposes only. While every effort is made to ensure scientific accuracy, results should not be used as a substitute for professional engineering, mechanical, or industrial analysis. Always verify calculations independently for critical applications.

✅ FAQs

❓ What is angular velocity in physics?

👉 Angular velocity is the rate of change of angular displacement with time, representing how fast an object rotates around an axis.

❓ What is the SI unit of angular velocity?

👉 The SI unit is radians per second (rad/s).

❓ How is angular velocity different from linear velocity?

👉 Angular velocity describes rotational motion, while linear velocity describes straight-line motion.

❓ Can angular velocity be constant?

👉 Yes ✅. In uniform circular motion, angular velocity remains constant.

❓ Who should use an angular velocity calculator?

👉 Students, teachers, engineers, researchers, and competitive exam aspirants can all benefit from it

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