Enter the mass, angle of incline, and coefficient of friction to determine the force needed to move the object uphill.

## Uphill Force Formula

The following equation is used to calculate the Uphill Force.

UF = m*g*cos(a) + m*g*sin(a)*u
• Where UF is the uphill force (N)
• m is the mass of the object (kg)
• g is the acceleration due to gravity (m/s^2)
• a is the incline angle (degrees)
• u is the coefficient of friction

To calculate the uphill force, sum the friction force and the gravitational component of force together.

## What is an Uphill Force?

Definition:

An uphill force is the total required force required to move an object uphill and overcome the force of gravity and friction acting on the object.

## How to Calculate Uphill Force?

Example Problem:

The following example outlines the steps and information needed to calculate the Uphill Force.

First, determine the mass of the object. In this example, the mass of the object is 13.5 kg.

Next, determine the incline angle. For this problem, the incline angle is found to be 35 degrees.

Next, determine the coefficient of friction. In this case, the coefficient of friction is measured to be .61.

Finally, calculate the Uphill Force using the formula above:

UF = m*g*cos(a) + m*g*sin(a)*u

UF = 13.5*9.81*cos(35deg) + 13.5*9.81*sin(35deg)*.61

UF = 154.82 N