What is the magnitude of the minimum force required to tighten the lug nuts on a car wheel according to the given statement?
The magnitude of the minimum force required using the wrench is 300 N.
Understanding Magnitude in Physics
Magnitude is essentially "length or quantity" in the context of physics. In terms of motion, it shows the relative or absolute size, direction, or movement of an object. It's being used to describe there's something size or scope. Magnitude in physics typically refers to the a size or quantity.
When we talk about magnitude in physics, we are referring to the numerical representation of a physical quantity. This involves combining a numeric value with a unit to express a physical amount. In the case of the minimum force required to tighten lug nuts on a car wheel, the magnitude is represented as 300 N.
In the given scenario, the torque required to tighten the lug nuts is 90 N∙m. By using a 30 cm (0.30 m) long wrench, the minimum force required can be calculated. The formula for torque is τ = F r, where τ is torque, F is force, and r is the length of the wrench. By rearranging the formula to solve for force (F), we get F = τ / r. Substituting the given values, we find that F = 90 N∙m / 0.30 m = 300 N.
Understanding the magnitude of a physical quantity is crucial in physics, as it provides a clear representation of the size or quantity involved in a given situation. It helps in determining the amount of force, energy, or other physical parameters required to achieve a specific outcome.