Math

QuestionWhat is the batting's thermal conductivity in WcmC\frac{\mathrm{W}}{\mathrm{cm} \cdot{ }^{\circ} \mathrm{C}} if it's 0.03 W/mC\mathrm{W/m} \cdot{ }^{\circ} \mathrm{C}?

Studdy Solution

STEP 1

Assumptions1. The thermal conductivity rate of the batting Wang Xiu Ying uses is0.03 W/m°C. We want to convert this rate to W/cm°C3.1 meter is equal to100 centimeters

STEP 2

We start by writing down the given thermal conductivity value in W/m°C.
Thermalconductivity=0.03W/m°CThermal\, conductivity =0.03\, W/m°C

STEP 3

We know that1 meter is equal to100 centimeters. So, we can write the conversion factor as1m=100cm1\, m =100\, cm

STEP 4

To convert the thermal conductivity from W/m°C to W/cm°C, we divide the given thermal conductivity by the conversion factor.
Thermalconductivitycm=ThermalconductivitymConversionfactorThermal\, conductivity_{cm} = \frac{Thermal\, conductivity_{m}}{Conversion\, factor}

STEP 5

Now, plug in the given values for the thermal conductivity and the conversion factor to calculate the thermal conductivity in W/cm°C.
Thermalconductivitycm=0.03W/m°C100cm/mThermal\, conductivity_{cm} = \frac{0.03\, W/m°C}{100\, cm/m}

STEP 6

Calculate the thermal conductivity in W/cm°C.
Thermalconductivitycm=0.03W/m°C100cm/m=0.0003W/cm°CThermal\, conductivity_{cm} = \frac{0.03\, W/m°C}{100\, cm/m} =0.0003\, W/cm°CThe batting's thermal conductivity value is 0.0003W/cm°C0.0003\, W/cm°C.

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