Wedge Force Calculator:
Enter the values of effort force, EF(N), coefficient of friction, u and angle of inclination, a(rad) to determine the value of wedge force, WF(N).
Wedge Force Formula:
The wedge force formula is a physical expression that calculates the force applied by a wedge on an object or surface, taking into account friction and the wedge’s angle of inclination.
Wedge Force, WF(N) in Newton is calculated as the effort force, EF(N) in Newton is applied along the length of the wedge, divided by twice the sum of the product of the coefficient of friction, u and the cosine of the angle of inclination, a(rad) in radians plus the sine of a(rad).
Wedge Force, WF(N) = EF(N) / 2 * (u * cos(a) + sin(a))
WF(N) = wedge force in Newtons, N.
EF(N) = effort force in Newtons, N.
u = coefficient of friction.
a(rad) = angle of inclination in Radian, rad.
Wedge Force Calculation:
- Suppose a wedge with an inclination angle of 25degrees approximately 0.436radians and a coefficient of friction of 0.3 is used to lift a heavy load. An effort force of 150N is applied along the wedge’s length. Calculate the force exerted by the wedge.
Given: EF(N) = 150N, u = 0.3, a(rad) = 25degrees.
Wedge Force, WF(N) = EF(N) / 2 * (u * cos(a) + sin(a))
WF(N) = 150 / 2 * (0.3 * cos(25) + sin(25))
WF(N) = 150 / 2 * (0.3 * 0.991 + (-0.13235))
WF(N) = 12.375N.
- A wedge force, WF(N) of 100 N, a coefficient of friction, u of 0.4, and an inclination angle, a(rad) of 20 degrees. Calculate the effort force required.
Given: WF(N) = 100N, u = 0.4, a(rad) = 20degrees.
Wedge Force, WF(N) = EF(N) / 2 * (u * cos(a) + sin(a))
EF(N) = WF(N) * 2 * (u * cos(a) + sin(a))
EF(N) = 100 * 2 * (0.4 * cos(20) + sin(20))
EF(N) = 100 * 2 * (0.4 * 0.9397 + 0.3420)
EF(N) = 143.58N.