Angular Acceleration Converter - Convert rad/s², deg/s² & More Units
Result:
1 rad/s² = 57.29577951 deg/s²
What is Angular Acceleration?
Angular acceleration is how fast something spins faster or slower. Think of a car wheel speeding up when you press the gas pedal. The wheel starts spinning slowly, then spins faster and faster. This change in spinning speed is angular acceleration.
We measure angular acceleration in different units. The most common unit is radians per second squared (rad/s²). Other units include degrees per second squared (deg/s²) and revolutions per second squared (rev/s²).
Angular acceleration happens everywhere around us. When you start a blender, the blades speed up their spinning. When a figure skater pulls their arms in during a spin, they spin faster. These are all examples of angular acceleration.
Why Convert Angular Acceleration Units?
Different Fields Use Different Units
- •Engineers often use rad/s² for calculations
- •Mechanics might use deg/s² for easier understanding
- •Machine operators use rev/s² for rotating equipment
Real-World Applications
- •Car engine performance testing
- •Wind turbine blade control systems
- •Robotics and automation
How Angular Acceleration Conversion Works
Input Value
Enter angular acceleration
Convert to rad/s²
Use conversion factor
Convert to Target
Apply target factor
Common Angular Acceleration Examples
Car Wheel
When you start your car, the wheels go from 0 to 100 rpm in about 2 seconds.
≈ 5.2 rad/s²
Washing Machine
During spin cycle, it reaches 1200 rpm from rest in 30 seconds.
≈ 4.2 rad/s²
Drill Motor
A power drill reaches 3000 rpm in just 1 second.
≈ 314 rad/s²
Wind Turbine
Large turbines slowly speed up to 30 rpm over 5 minutes.
≈ 0.01 rad/s²
Ceiling Fan
Takes about 10 seconds to reach full speed of 200 rpm.
≈ 2.1 rad/s²
Gyroscope
High-speed gyroscopes can reach 24,000 rpm in 60 seconds.
≈ 42 rad/s²
Angular Acceleration Formulas
Basic Conversions
rad/s² to deg/s²
deg/s² = rad/s² × (180/π)
Multiply by 57.296
deg/s² to rad/s²
rad/s² = deg/s² × (π/180)
Multiply by 0.01745
rev/s² to rad/s²
rad/s² = rev/s² × 2π
Multiply by 6.283
Physics Relations
Angular Acceleration
α = dω/dt
Change in angular velocity over time
Torque Relation
τ = I × α
Torque equals moment of inertia times angular acceleration
Linear Relation
a = α × r
Linear acceleration equals angular acceleration times radius
Angular Acceleration Conversion Table
| rad/s² | deg/s² | rev/s² | rev/min² |
|---|---|---|---|
| 0.1 | 5.73 | 0.0159 | 57.3 |
| 0.5 | 28.65 | 0.0796 | 286.5 |
| 1 | 57.30 | 0.1592 | 573.0 |
| 2 | 114.59 | 0.3183 | 1145.9 |
| 5 | 286.48 | 0.7958 | 2864.8 |
| 10 | 572.96 | 1.5915 | 5729.6 |
| 15 | 859.44 | 2.3873 | 8594.4 |
| 20 | 1145.92 | 3.1831 | 11459.2 |
| 25 | 1432.39 | 3.9789 | 14323.9 |
| 30 | 1718.87 | 4.7746 | 17188.7 |
| 40 | 2291.83 | 6.3662 | 22918.3 |
| 50 | 2864.79 | 7.9577 | 28647.9 |
| 75 | 4297.18 | 11.9366 | 42971.8 |
| 100 | 5729.58 | 15.9155 | 57295.8 |
| 200 | 11459.16 | 31.8310 | 114591.6 |
Angular Acceleration Units Progression
0.1 rad/s²
0.5 rad/s²
1 rad/s²
2 rad/s²
5 rad/s²
10 rad/s²
Practice Problems
Problem 1:
Convert 2 rad/s² to deg/s²
Solution: 2 × (180/π) = 114.59 deg/s²
Problem 2:
Convert 90 deg/s² to rad/s²
Solution: 90 × (π/180) = 1.571 rad/s²
Problem 3:
Convert 0.5 rev/s² to rad/s²
Solution: 0.5 × 2π = 3.142 rad/s²
Problem 4:
Convert 10 rad/s² to rev/min²
Solution: 10 × 3600/(2π) = 5729.6 rev/min²
Problem 5:
Convert 180 deg/s² to rev/s²
Solution: 180 × (π/180) / (2π) = 0.5 rev/s²
How to Convert Angular Acceleration Units
Step 1: Identify Your Units
Look at what unit you have and what unit you want. For example, you might have 5 deg/s² and want to convert it to rad/s².
Step 2: Find the Conversion Factor
Each unit has a conversion factor. For deg/s² to rad/s², multiply by π/180 (about 0.01745).
Step 3: Do the Math
Multiply your number by the conversion factor. So 5 deg/s² × 0.01745 = 0.087 rad/s².
Step 4: Check Your Answer
Make sure your answer makes sense. Radians are smaller units than degrees, so the number should be smaller.
Where We Use Angular Acceleration
Car Engines
Measure how fast the crankshaft spins up when you start the car
Wind Turbines
Control how fast the blades speed up to generate electricity safely
Washing Machines
Control drum spinning speed for different wash and spin cycles
Robot Arms
Program how fast joints rotate to move smoothly and accurately
Gyroscopes
Measure spinning changes for navigation in phones and airplanes
Power Tools
Control how fast drill bits and saw blades reach their working speed
Frequently Asked Questions
What is the difference between angular velocity and angular acceleration?
Angular velocity is how fast something spins (like 100 rpm). Angular acceleration is how fast the spinning speed changes (like going from 0 to 100 rpm in 5 seconds).
Which unit is most commonly used?
Radians per second squared (rad/s²) is the standard unit in physics and engineering. Degrees per second squared (deg/s²) is easier to understand for everyday use.
How do I convert rpm/s to rad/s²?
First convert rpm to rev/s by dividing by 60. Then multiply by 2π to get rad/s². For example: 120 rpm/s ÷ 60 = 2 rev/s, then 2 × 2π = 12.57 rad/s².
Can angular acceleration be negative?
Yes! Negative angular acceleration means something is slowing down its spinning. Like when you turn off a fan and it gradually stops spinning.
What causes angular acceleration?
Angular acceleration is caused by torque (twisting force). The more torque you apply to an object, the faster it will speed up its spinning motion.
Is this converter accurate for all values?
Yes, our converter uses precise mathematical formulas. It works for any value from very small (like 0.001 rad/s²) to very large (like 10,000 rad/s²) angular accelerations.