A grandfather clock is controlled by a swinging brass pendulum that is 1.2 m long at a temperature of 23°C.
(a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (Round your answer to four significant figures.)
1. mm
(a) What is the length of the pendulum rod when the temperature drops to 0.0°C? (Round your answer to four significant figures.)
1. mm
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The thermal expansion coefficient for brass is 18.7 X10^-6 m/m/degree C
You have a temperature drop of 23 degrees.
The original length is 1.2 meters.
For 1m of length the total contraction is (18.7X10^-6)(-23 degrees) = .0004301m
For 1.2 meters it is .0004301 * 1.2 m = .00051612m total shortening of the rod.
Final length after cooling is 1.2m - .00051612m = 1.19948 m
You can do the rounding
You have a temperature drop of 23 degrees.
The original length is 1.2 meters.
For 1m of length the total contraction is (18.7X10^-6)(-23 degrees) = .0004301m
For 1.2 meters it is .0004301 * 1.2 m = .00051612m total shortening of the rod.
Final length after cooling is 1.2m - .00051612m = 1.19948 m
You can do the rounding