How to Calculate the Force Required to Loosen a Nut on a Car Wheel?

What force must be exerted at the end of a lug wrench to loosen a nut on a car wheel when the torque required is 60 N·m and the angle between the force and the wrench is 57°? Answer: The force required to loosen the nut can be found using the torque equation, where the torque, the length of the lug wrench, and the angle between the force and the wrench are given.

In order to calculate the force required to loosen the nut on a car wheel, we can use the concept of torque. Torque is a measure of the tendency of a force to rotate an object around an axis. It can be calculated using the formula τ = rFsinθ, where τ is the torque, r is the distance from the pivot point to the force application point (the length of the lug wrench in this case), F is the force, and θ is the angle between the force and the distance vector.

Given that the torque required to loosen the nut is 60 N·m, the length of the lug wrench is 0.24 m, and the angle between the force and the wrench is 57°, we can rearrange the torque formula to solve for force: F = τ / (rsinθ). Substituting the values, we get: F = 60 N·m / (0.24 m * sin(57°)). By calculating this, we will determine the force that must be exerted at the end of the lug wrench to loosen the nut.

Understanding how to calculate the force required to loosen a nut on a car wheel is crucial for maintaining and servicing vehicles. By applying the principles of torque and utilizing the appropriate formulas, mechanics and car enthusiasts can effectively tackle various tasks related to vehicle maintenance and repair.

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