a technician applied a force of 250N at the end of a spanner of length 0.25 in order to loosen a nut. Determine the movement applied to the unit.
To determine the movement applied to the unit, we need to calculate the torque exerted by the force and then convert it into the appropriate unit of measurement.
Torque (T) is defined as the product of the force (F) applied perpendicular to the lever arm and the distance (r) between the pivot point and the line of action of the force. Mathematically, torque can be calculated using the equation:
T = F * r
In this case, the force (F) applied by the technician is 250 N (Newtons), and the lever arm (r) or spanner length is given as 0.25 meters (since it is more practical to convert inches to meters). By substituting these values into the equation, we can find the torque:
T = 250 N * 0.25 m = 62.5 Nm (Newton-meters)
The torque is typically represented in Newton-meters (Nm) or foot-pounds (ft-lbs). Therefore, the movement applied to the unit is 62.5 Nm.