Enter the standard coefficient of friction and the angle of the friction into the calculator to determine the Coefficient of Friction at an Angle. 

Coefficient of Friction at an Angle Formula

The following formula is used to calculate the Coefficient of Friction at an Angle. 

Ca = C * SIN(a)
  • Where Ca is the Coefficient of Friction at an Angle
  • C is the standard coefficient of friction 
  • a is the angle of the friction 

To calculate the coefficient of friction at an angle, multiply the coefficient of friction by the sine of the angle of friction.

How to Calculate Coefficient of Friction at n Angle?

The following two example problems outline how to calculate the Coefficient of Friction at n Angle.

Example Problem #1:

  1. First, determine the standard coefficient of friction. In this example, the standard coefficient of friction is given as 100.
  2. Next, determine the angle of the friction. For this problem, the angle of the friction is given as 40.
  3. Finally, calculate the Coefficient of Friction at n Angle using the equation above: 

Ca = C * SIN(a)

Inserting the values from above and solving the equation: 

Ca = 100 * sin(40deg) = 64.278

Example Problem #2: 

Using the same process as above, first define the variables required by the formula. In this case, these values are:

standard coefficient of friction = 200

angle of the friction = 35

Entering these values yields:

Ca = 200 * SIN(35deg) = 114.71