Question

Are there any equations relating friction to heat transfer or temperature change in an object?

Answer 1

This is what I could recall. Should you need more information, feel free to post a situation and ask.

Explanation:

Yes, there are a few applicable equations, which you already know from other sub-branches of Physics, which can be applied depending on the situation.
Heat transferred to a body

`Q=msDeltaT`
where `m` is mass of the object, `s` Specific heat capacity of the material of the object and `Delta T`, change in temperature of the object.

Occasionally, the temperature of the object may not necessarily rise. For example, during a phase change (solid to liquid, liquid to gaseous state) heat is added to object without corresponding increase in its temperature. In such a case applicable equation is

`Q=mL`
where `L` is latent heat of the material of object/sample.

Amount of heat transferred to the object can be ascertained with help of calorimetery.

Efficiency of conversion `eta="Heat generated"/"Work done"`

Work done by force of friction `vec(f_f)` when the object moves through a displacement `vec(ds)`

`W_f=vec(f_f)cdotvec(ds)`

Work done by friction is always negative

• `vec(f_f)` is always opposite to direction of motion
• Friction always takes energy away from moving object as heat

However energy is always conserved.

Units of Heat and Work are same as Joule.
Rate of heat transfer is stated in Watt (W), `-=` as `1` Joule per second