Tangential Acceleration Calculator
Calculate tangential acceleration given angular acceleration and radius with our easy-to-use tool.
Results
How to Use the Calculator
- Enter the angular acceleration in radians per second squared (rad/s²)
- Enter the radius in meters (m)
- Click “Calculate” to get the tangential acceleration
Formula
The tangential acceleration (aₜ) is calculated using the formula:
Where:
- aₜ = Tangential acceleration (m/s²)
- α = Angular acceleration (rad/s²)
- r = Radius (m)
Frequently Asked Questions
What is tangential acceleration?
Tangential acceleration is the linear acceleration of an object moving along a circular path. It represents how quickly the object’s linear velocity changes along the tangent to the path.
How is tangential acceleration different from centripetal acceleration?
Tangential acceleration changes the magnitude of velocity (speed), while centripetal acceleration changes the direction of velocity. Tangential acceleration is parallel to the velocity vector, whereas centripetal acceleration is perpendicular to it.
Can tangential acceleration be zero?
Yes, tangential acceleration is zero when an object moves in uniform circular motion (constant speed). In this case, there’s only centripetal acceleration directing the object toward the center.
What units should I use for the inputs?
For accurate results, use:
- Angular acceleration: radians per second squared (rad/s²)
- Radius: meters (m)
The calculator will output tangential acceleration in meters per second squared (m/s²).