Angle of Acceleration Calculator
Definition
- Angle of Acceleration (a): The angle formed by the acceleration vector with the horizontal axis, measured in degrees.
- Horizontal Component of Acceleration (Ax): The acceleration in the horizontal direction (m/s²).
- Vertical Component of Acceleration (Ay): The acceleration in the vertical direction (m/s²).
Example
Let's say the horizontal component of acceleration (Ax) is 3 m/s² and the vertical component of acceleration (Ay) is 4 m/s². Using the formula:
\[
a = \text{ATAN}\left(\frac{4}{3}\right) \approx 53.13 \text{ degrees}
\]
So, the angle of acceleration is approximately 53.13 degrees.
Extended information about "Angle-of-Acceleration-Calculator"
Acceleration Formula with Angle
Definition: The acceleration formula with angle calculates the component of acceleration in a given direction.
Formula: \( a = a_0 \cos(\theta) \)
- \( a \): Acceleration
- \( a_0 \): Initial acceleration
- \( \theta \): Angle
Example: \( a = 9.8 \cos(30^\circ) \)
- Acceleration: \( a \)
- Initial Acceleration: 9.8 m/s²
- Angle: 30°
Average Angular Acceleration Calculator
Definition: The average angular acceleration is the rate of change of angular velocity over time.
Formula: \( \alpha = \frac{\Delta \omega}{\Delta t} \)
- \( \alpha \): Average angular acceleration
- \( \Delta \omega \): Change in angular velocity
- \( \Delta t \): Change in time
Example: \( \alpha = \frac{20}{4} \)
- Average Angular Acceleration: \( \alpha \)
- Change in Angular Velocity: 20 rad/s
- Change in Time: 4 s
Equation for Average Angular Acceleration
Definition: The equation for average angular acceleration calculates the average rate of change of angular velocity.
Formula: \( \alpha = \frac{\Delta \omega}{\Delta t} \)
- \( \alpha \): Average angular acceleration
- \( \Delta \omega \): Change in angular velocity
- \( \Delta t \): Change in time
Example: \( \alpha = \frac{15}{3} \)
- Average Angular Acceleration: \( \alpha \)
- Change in Angular Velocity: 15 rad/s
- Change in Time: 3 s
Equation to Find Angular Acceleration
Definition: The equation to find angular acceleration calculates the rate of change of angular velocity.
Formula: \( \alpha = \frac{\Delta \omega}{\Delta t} \)
- \( \alpha \): Angular acceleration
- \( \Delta \omega \): Change in angular velocity
- \( \Delta t \): Change in time
Example: \( \alpha = \frac{10}{2} \)
- Angular Acceleration: \( \alpha \)
- Change in Angular Velocity: 10 rad/s
- Change in Time: 2 s
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