Solving Torque Problem in Physics

Understanding Torque in Physics

Torque is a rotational force around an axis, often represented as the product of a force and a lever arm. In physics, calculating torque plays a crucial role in various applications, especially when dealing with rotational motion.

Problem Statement

If the torque required to loosen a nut holding a wheel on a car is 48 N ยท m, what force must be exerted at the end of a 0.23 m lug wrench to loosen the nut when the angle between the force and the wrench is 41โ—ฆ? Answer in units of N.

Question

If the torque required to loosen the nut is 48 N ยท m, the lever arm is 0.23 m, and the angle between the force and the wrench is 41 degrees, what force needs to be exerted to loosen the nut?

Answer

Answer: F = 318.1 N
Explanation: As we know that torque to open the nut is given by the formula ๐œ = ๐‘Ÿ๐น sin ๐œƒ, and we are given ๐œ = 48 Nm, r = 0.23 m, and the angle of 41 degrees. By substituting the given values into the formula, we get F = 318.1 N.

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