Enter the mass, the angle, and the coefficient of friction into the calculator to determine the Incline Plane Acceleration. 

Incline Plane Acceleration Formula

The following equation is used to calculate the Incline Plane Acceleration.

A = (m*g*sin(a) – m*g*cos(a)*CF) / m

  • Where A is the Incline Plane Acceleration (m/s^2)
  • m is the mass (kg)
  • a is the angle (degrees)
  • CF is the coefficient of friction (none)

What are the units for Incline Plane Acceleration?

The most common units for Incline Plane Acceleration are m/s^2.

How to Calculate Incline Plane Acceleration?

Example Problem:

The following example problem outlines the steps and information required to calculate the Incline Plane Acceleration.

First, determine the mass. In this example, the mass is measured to be 50 (kg).

Next, determine the angle. For this problem, the angle is calculated to be 45 (degrees).

Next, determine the coefficient of friction. In this case, the coefficient of friction is found to be .75 (none).

Finally, calculate the Incline Plane Acceleration using the formula above: 

A = (m*g*sin(a) – m*g*cos(a)*CF) / m

Inserting the values from above and solving the equation gives us: 

A = (50*9.81*sin(45deg) – 50*9.81*cos(45deg)*.75) / 50 = 1.734 (m/s^2)