To tighten a spark plug, it is recommended that a torque of 15 N ·m be applied. If a mechanic ti

step 1 Hello, we have a question here to find the minimum force require to get a torque of 15 Newton me

To tighten a spark plug, it is recommended that a torque of...

To tighten a spark plug, it is recommended that a torque of 15 $\mathrm{N} \cdot \mathrm{m}$ be applied. If a mechanic tightens the spark plug with a
wrench that is 25 $\mathrm{cm}$ long, what is the minimum force necessary
to create the desired torque?

Key Concepts

Torque

Torque is a measure of the rotational force applied to an object. It is defined as the product of the force applied and the perpendicular distance from the pivot point (or axis of rotation) at which the force is applied. This concept is fundamental in mechanics for analyzing rotational movement and ensuring that components are properly tightened or balanced.

Lever Arm

The lever arm, or moment arm, is the perpendicular distance from the axis of rotation to the line of action of the force. It is critical in determining the effectiveness of the applied force in producing rotation. In problems involving torque, the lever arm length directly influences the magnitude of the torque generated.

Force

Force is any interaction that, when unopposed, changes the motion of an object. In rotational mechanics, applying a force at a distance from a pivot point can cause an object to rotate. The relationship between force, lever arm, and torque is central to solving problems in statics and dynamics.

Unit Conversion

Unit conversion involves translating a measurement from one unit system to another to maintain consistency in calculations. In mechanics, it is essential to ensure that units such as length and torque are compatible, typically requiring conversion of measurements like centimeters to meters so that the calculated physical quantities are accurate.

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