A brass measuring tape is correct at 20°c.The value obtained when the length of a field is measured with the rule at 50°c appears to be 70.5m. what is the length of the field? Linear expansivity of brass=1.8×10^_5/Kelvin
change in L / L = 1.8*10^-5 (50 - 20)
Lmeasured - L = 70.5 (30)(1.8*10^-5) = 3807*10^-5 = 0.038
L = 70.5 - .038 =70.46
A brass measuring tape is correct at 20°c.The value obtained when the length of a field is measured with the rule at 50°c appears to be 70.5m. what is the length of the field? Linear expansivity of brass=1.8×10^-5/Kelvin
A solid metal cube of side 10cm is heated from 10 degree Celsius to 60 degree Celsius. if the linear expansivity of the metal is 1.2 × 10^-5 k^-1
A solid metal cube of side 10cm is heated from 10 degree Celsius to 60 degree Celsius. if the linear expansivity of the metal is 1.2 × 10^-5 k^-1, calculate the increase in this volume
To calculate the correct length of the field, we need to take into account the change in length due to the difference in temperature.
The formula to calculate the change in length is given by:
ΔL = L₀ * α * ΔT
Where:
ΔL = Change in length
L₀ = Initial length (20°C)
α = Linear expansivity coefficient of brass (1.8×10^-5/Kelvin)
ΔT = Change in temperature (50°C - 20°C = 30°C)
First, we need to calculate the change in length:
ΔL = 70.5m * (1.8×10^-5/Kelvin) * 30°C
ΔL ≈ 0.03735m
To find the correct length, we need to subtract the change in length from the measured length:
Correct length = Measured length - ΔL
Correct length = 70.5m - 0.03735m
Correct length ≈ 70.46365m
Therefore, the length of the field is approximately 70.46365 meters.