diameter of hole = 1+0.01 = 1.01cm
TK = 24.57K
after solving
TC = –248.58 C
TF = – 415.44 F
TK = 216.55K
after solving
TC = – 56.60 C
TF = – 69.88 F
for any temperature scale
The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law : R =R[1 + (T –T )] The resistance is 101.6 at the triple-point of water 273.16 K, and 165.5 at the normal melting point of lead (600.5 K). What is the temperature when the resistance is 123.4 ?
A steel tape 1m long is correctly calibrated for a temperature of 27.0 C. The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 C. What is the actual length of the steel rod on that day? Coefficient of linear expansion of steel = 1.20
final length =63.0136cm
A large steel wheel is to be fitted on to a shaft of the same material. At 27 C, the outer diameter of the shaft is 8.70 cm and the diameter of the central hole in the wheel is 8.69 cm. The shaft is cooled using ‘dry ice’. At what temperature of the shaft does the wheel slip on the shaft? Assume coefficient of linear expansion of the steel to be constant over the required temperature range: = 1.20 .
final temp. =
Change in diameter