How to Calculate Torque and Work Done in a Screw-Jack?
What is the formula to calculate torque in a screw-jack?
1. Given a force of 88 N at the end of a 0.6 m long bar to raise the jack, how do we find the torque required?
How do you calculate the work done per minute in a screw-jack?
2. If the jack screw makes 30 rev/min, how can we determine the work done per minute?
Formula to Calculate Torque:
The formula to calculate torque in a screw-jack is: Torque = Force x Distance
Calculation of Torque:
To find the torque required in this scenario, we multiply the force required (88 N) and the length of the bar (0.6 m).
Formula to Calculate Work Done:
The formula to calculate work done per minute in a screw-jack is: Work = Torque x Angular Velocity
Formula to Calculate Torque: Torque is the product of the force applied and the distance from the fulcrum. In this case, the force is 88 N and the distance is 0.6 m.
Calculation of Torque: Torque = Force x Distance = 88 N x 0.6 m = 52.8 Nm. Therefore, the torque required in the screw-jack is 52.8 Newton meters.
Formula to Calculate Work Done: Work done is the product of torque and angular velocity, which represents the rate of rotation.
In this scenario, the jack screw makes 30 revolutions per minute. To calculate the work done per minute, we multiply the torque (52.8 Nm) by the angular velocity (30 rev/min * 2π rad/rev).
Work = Torque x Angular Velocity = 52.8 Nm x (30 rev/min x 2π rad/rev) = 3168π J/min. Therefore, the work done per minute in the screw-jack is 3168π Joules.