Question: Horses are to race over a certain English meadow for a distance of . What is the race distance in (a) rods and (b) chains? ( 1 furlong = 201.168m, 1 rod = 5.0292 m and 1 chain =20.117 m)
Race distance is 4.0 furlongs.
The conversion factors given in the problems are listed below:
1 furlong = 201.168m,
1 rod = 5.0292 m
1 chain =20.117 m
Unit conversion is the conversion between different units of measure for the same quantity, usually through multiplier conversion factors. Here, furlong, rod, meter, and chain are the different units for the quantity length.
Using the above conversion factors, the race distance in rods can be written as,
Thus, the race distance is 160 rod.
Using the above conversion factors, the race distance in chains can be written as,
Thus, the race distance is 40 chains.
Question: For about 10 years after the French Revolution, the French government attempted to base measures of time on multiples of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second?
Time standards are now based on atomic clocks. A promising second standard is based on pulsars, which are rotating neutron stars (highly compact stars consisting only of neutrons). Some rotate at a rate that is highly stable, sending out a radio beacon that sweeps briefly across Earth once with each rotation, like a lighthouse beacon. Pulsar PSR 1937 + 21 is an example; it rotates once every 1.557 806 448 872 75 3 ms, where the trailing 3 indicates the uncertainty in the last decimal place (it does not mean 3 ms). (a) How many rotations does PSR 1937 + 21 make in 7.00 days? (b) How much time does the pulsar take to rotate exactly one million times and (c) what is the associated uncertainty?
94% of StudySmarter users get better grades.Sign up for free