A fahrenheit thermometer registers 100°F while a faulty celsius thermometer registers 44°C.Find the error in the later
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To find the error in the faulty Celsius thermometer, we can convert the temperature readings from Fahrenheit to Celsius and compare them.
1. To convert Fahrenheit to Celsius, we use the formula:
Celsius = (Fahrenheit - 32) * (5/9)
2. Let's convert the Fahrenheit temperature of 100°F to Celsius:
Celsius = (100 - 32) * (5/9)
= 68 * (5/9)
= 34.444°C (approximately)
3. Now, we compare the Fahrenheit reading of 100°F with the faulty Celsius reading of 44°C.
100°F = 34.444°C
4. We can calculate the error by finding the difference between the actual Celsius reading and the faulty Celsius reading:
Error = Actual Celsius reading - Faulty Celsius reading
= 34.444°C - 44°C
= -9.556°C (approximately)
Therefore, the error in the faulty Celsius thermometer is approximately -9.556°C.
To find the error in the faulty Celsius thermometer, we need to convert the temperature from Celsius to Fahrenheit and compare it to the Fahrenheit reading.
To convert Celsius to Fahrenheit, you can use the following formula:
°F = (°C * 9/5) + 32
Let's plug in the given temperature in Celsius (44°C) into the formula:
°F = (44 * 9/5) + 32
°F = (396/5) + 32
°F = 79.2 + 32
°F = 111.2
The faulty Celsius thermometer registers 44°C, which is equivalent to 111.2°F, not 100°F, as the Fahrenheit thermometer indicates.
Therefore, the error in the faulty Celsius thermometer is 11.2°F.
C = 5/9 (F-32)
use this to determine the correct °C reading.