Calculadora de Ângulo de Inclinação da Pista
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
a = g·sin(θ)
About this calculator
This calculator determines the acceleration of an object sliding on a frictionless inclined plane, using the formula a = g·sin(θ). Acceleration depends only on gravity (g ≈ 9.8 m/s²) and the angle of inclination (θ) in degrees. It is a useful tool for basic dynamics problems where friction is neglected to simplify the calculation.
How it works: enter the inclination angle in degrees. The calculator converts the angle to radians, computes the sine, and multiplies by the acceleration due to gravity. The result is the acceleration along the plane in m/s². Remember that the formula assumes no friction or air resistance.
When to use? In situations like calculating the acceleration of a car going down a frictionless ramp, in high school physics problems, or simple simulations. It is also helpful to check if an object gains enough speed on a slope, disregarding friction losses.
Cautions: the formula is valid only for frictionless planes. In real scenarios, friction reduces acceleration. Also, angles close to 90° may yield results near g, but the motion may no longer be sliding (free fall). Use the calculator with these limitations in mind.
Frequently asked questions
What if the angle is greater than 90 degrees?
Angles above 90 degrees are not meaningful for an inclined plane. The calculator may return a negative or invalid value. Keep the angle between 0 and 90 degrees.
Can I use this calculator for planes with friction?
No. The formula ignores friction. To include friction, you need a more complex formula involving the coefficient of friction.
Why doesn't acceleration depend on the object's mass?
On a frictionless inclined plane, mass cancels out in the equation of motion. Therefore, acceleration is the same for any mass.
What is the unit of the resulting acceleration?
Acceleration is given in meters per second squared (m/s²), provided you use g in m/s².
What does an angle of 0 degrees mean?
An angle of 0 degrees means the plane is horizontal. Acceleration will be zero because there is no component of gravity along the plane.