Screw Jack Force Calculator:
Enter the values of load, L(N), pitch of the screw, p(m) and radius of the effort arm, r(m) to determine the value of Screw Jack Force, Fsj(N).
Screw Jack Force Formula:
The screw jack force formula is utilized to determine the force required to lift or lower a load using a screw jack, a device that converts rotational motion into linear motion.
Screw Jack Force, Fsj(N) in Newtons, is calculated by dividing the product of the load, L(N) in Newtons and the pitch of the screw, p(m) in metres by the product of 2pi and the radius of the effort arm, r(m) in metres.
Screw Jack Force, Fsj(N) = L(N) * p(m) / 6.28 * r(m)
Fsj(N) = screw jack force in Newton, N.
L(N) = load in Newton, N.
p(m) = pitch of the screw in metres, m.
r(m) = radius of the effort arm in metres, m.
Screw Jack Force Claculation:
- Determine the force required to lift a 1500N load with a screw jack that has a screw pitch of 0.01m and an effort arm radius of 0.05m.
Given: L(N) = 1500N, p(m) = 0.01m, r(m) = 0.05m
Screw Jack Force, Fsj(N) = L(N) * p(m) / 6.28 * r(m)
Fsj(N) = 1500 * 0.01 / 6.28 * 0.05
Fsj(N) = 47.77N.
- Suppose you need to calculate the effort arm radius required to lift a load of 1000N using a screw jack. The pitch of the screw is 0.005m, and the force applied is 50N.
Given: L(N) = 1000N, p(m) = 0.005m, Fsj(N) = 50N
Screw Jack Force, Fsj(N) = L(N) * p(m) / 6.28 * r(m)
r(m) = L(N) * p(m) / 6.28 * Fsj(N)
r(m) = 1000 * 0.005 / 6.28 * 50
r(m) = 0.0159m.