The formula to calculate the coefficient of friction at an angle (Ca) is:
\[ Ca = C \cdot \sin(a) \]
Where:
Let's say the standard coefficient of friction is 0.5, and the angle of friction is 30 degrees. Using the formula:
\[ Ca = 0.5 \cdot \sin(30) \]
We get:
\[ Ca = 0.5 \cdot 0.5 = 0.25 \]
So, the coefficient of friction at an angle (\( Ca \)) is 0.25.
The coefficient of friction at an angle is a measure of the frictional force acting on an object when it is inclined at a certain angle. It is calculated by multiplying the standard coefficient of friction by the sine of the angle of friction. This calculation is useful in understanding how friction changes with the angle of inclination.