Mechanics: Understanding Torque and Force in Action
How was the torque applied by the mechanic calculated?
The torque applied by the mechanic can be calculated using the formula: torque = force × distance. What was the force and distance used in the calculation?
Calculation of Torque Applied by the Mechanic
When the mechanic stood on the end of the 0.6-meter long wrench, he was able to apply his entire 100 kg weight to the wrench. The torque applied by the mechanic can be calculated by multiplying the force (100 kg) by the distance (0.6 meters).
Using the formula: torque = force × distance
torque = 100 kg × 0.6 meters
This calculation results in a torque of 60 Nm (Newton meters).
When working with mechanical systems, understanding torque is crucial. Torque is the measure of the force applied around a rotational axis. In the case of the mechanic using a wrench to loosen rusted lug nuts on a truck wheel, torque played a key role in applying the necessary force to overcome the resistance of the rusted nuts.
In this specific scenario, the mechanic's weight of 100 kg acted as the force, while the length of the wrench, 0.6 meters, served as the distance from the rotational axis (the truck wheel) where the force was applied. By standing on the end of the wrench, the mechanic effectively maximized the torque applied to the nuts. The calculation of torque by multiplying force and distance yielded a value of 60 Nm, indicating the magnitude of force exerted by the mechanic.
Understanding how torque is calculated and its application in mechanical systems is essential for mechanics, engineers, and anyone working with rotational forces. By grasping the fundamentals of torque, individuals can optimize their efforts and ensure efficient operation of machinery and equipment.