Angular Velocity Calculator
Convert between angular and linear velocity. Calculate angular velocity from frequency, period, or linear velocity.
How to Use the Angular Velocity Calculator
- Choose the calculation mode: from linear velocity, frequency, or period.
- Enter the known values (velocity and radius, frequency, or period).
- Click Calculate to get the angular velocity instantly.
- Review the result in rad/s, RPM, and degrees per second.
مرجع سريع
| من | إلى |
|---|---|
| Earth rotation | 7.27 × 10⁻⁵ rad/s |
| Clock hour hand | 1.45 × 10⁻⁴ rad/s |
| CD (typical) | 73.3 rad/s |
| Washing machine spin | 104.7 rad/s |
حالات الاستخدام
- •Converting motor RPM to angular velocity for mechanical engineering calculations.
- •Finding the linear speed of a point on a rotating wheel given its radius.
- •Calculating the rotation rate of celestial bodies from their orbital period.
- •Physics problems involving rotational motion and circular dynamics.
الصيغة
ω = v / r (from linear velocity); v = ω × r (linear velocity); ω = 2πf (from frequency); ω = 2π / T (from period).
الأسئلة الشائعة
What is angular velocity?
Angular velocity (ω) is the rate of change of an angle with respect to time. It measures how fast an object rotates or revolves around an axis, expressed in radians per second (rad/s).
How do I convert RPM to rad/s?
Multiply RPM by 2π and divide by 60. For example, 60 RPM = 60 × 2π / 60 = 2π ≈ 6.283 rad/s.
What is the difference between angular and linear velocity?
Linear velocity (v) measures how fast a point moves along a straight path (m/s), while angular velocity (ω) measures how fast it rotates around an axis (rad/s). They are related by v = ω × r, where r is the radius.