/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 62 A furlong is 220 yd; a fortnight... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 62

A furlong is 220 yd; a fortnight is 14 d. How fast is 1 furlong per fortnight (a) in \(\mu \mathrm{m} / \mathrm{s} ?\) (b) in km/day?

Short Answer

Expert verified
1 furlong per fortnight can be converted to (a) micrometers per second (碌m/s) and (b) kilometers per day (km/day) as follows: (a) Using the conversion steps mentioned above, we can calculate the speed in 碌m/s: speed = (220 * 0.9144 * 1,000,000) / (14 * 24 * 60 * 60) 碌m/s = 160.9344 碌m/s (b) Similarly, when converting to km/day, we calculate the result: speed = (220 * 0.9144 * 0.001) / 14 km/day = 0.0144 km/day So, 1 furlong per fortnight is approximately 160.9344 碌m/s or 0.0144 km/day.

Step by step solution

01

Calculate the speed in meters per second

First, we need to convert 1 furlong per fortnight to meters per second. We are given that 1 furlong is equal to 220 yards, and 1 fortnight is equal to 14 days. 1 furlong = 220 yd 1 fortnight = 14 d Using conversion factors for yards to meters and days to seconds, we can find the speed in meters per second. The conversion factors are: 1 yard = 0.9144 m 1 day = 24 h = 24 * 60 * 60 s Now calculate the speed in meters per second: (1 furlong per fortnight) * (220 yd per furlong) * (0.9144 m per yard) / (14 days per 1 fortnight) * (24 h per day) * (60 min per h) * (60 s per min) After canceling out the units, we get: speed = (220 * 0.9144) / (14 * 24 * 60 * 60) m/s
02

Convert to micrometers per second (碌m/s)

Now to convert the speed in meters per second to micrometers per second, we use the following conversion factor: 1 m = 1,000,000 碌m So, we multiply the speed in meters per second by 1,000,000 to get the speed in micrometers per second: speed * 1,000,000 = (220 * 0.9144 * 1,000,000) / (14 * 24 * 60 * 60) 碌m/s Calculate the result to obtain the speed in 碌m/s.
03

Convert to kilometers per day (km/day)

For the final conversion, we need to find the speed in kilometers per day. We can use the following conversion factors: 1 m = 0.001 km 1 day = 24 h = 24 * 60 * 60 s Now, we multiply the meters per second speed by the appropriate conversion factors: speed * 0.001 km/m * (24 * 60 * 60) s/day = (220 * 0.9144 * 0.001 * 24 * 60 * 60) / (14 * 24 * 60 * 60) km/day We can cancel some terms and calculate the result: speed = (220 * 0.9144 * 0.001) / 14 km/day Calculate the final speed in km/day.

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