[tex]\huge\mathcal{\fcolorbox{yellow} {beige} {\orange{ᏗᏁᏕᏇᏋᏒ}}}[/tex]

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The rate at which a clock gains or loses time due to temperature changes is determined by the coefficient of thermal expansion of the material used for the pendulum rod. Brass has a coefficient of thermal expansion, which means it expands or contracts with temperature changes.

To calculate the change in timekeeping due to temperature, you can use the formula:

[tex]{ \red{ \boxed{ \tt \: Δt = L \times α \times ΔT}}}[/tex]

Where:

• Δt is the change in timekeeping (in seconds per second).
• L is the length of the pendulum rod.
• α is the coefficient of linear expansion for brass
• ΔT is the change in temperature.

Let's assume:

• L = 1 meter (you can use the actual length if you have it).
• ΔT = 30°C – 10°C = 20°C.

Now, plug these values into the formula:

[tex] \sf \: Δt = 1 × (19 \times 10^{-6}) × 20[/tex]

[tex]{ \boxed{ \bold{Δt ≈ 0.00038 \: seconds \: per \: second}}}[/tex]

So, the clock will gain or lose approximately 0.00038 seconds per second when the temperature falls from 30°C to 10°C.

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[tex]{ \orange{ \sf \: hope \: it \: helps \: you}}[/tex]