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Chapter 1: Q14. (page 18)

One hectare is defined as1×104m2. One acre is4.356×104ft2. How many acres are there in one hectare?

Short Answer

Expert verified

There are possibly 2.471088267acres in one hectare.

Step by step solution

01

Step 1. Converting one acre into meters

To measure the pieces of land, a unit known as an acre is used. One acre is equivalent to 4047 square meters and 4840 square yards.

Using the formula to express one acre in meters, you get

1acre=4.356×104ft2×1m210.764ft2=4046.8m2.

02

Step 2. Converting acres into hectare

In the metric system, one hectare is the unit of measurement of area. For example, the area of a piece of land. One hectare is equivalent to 10000 square meters.

Using the formulate to determine the number of acres in one hectare, you get

N=1acre1hectare=1×104m24046.8m2=2.471088267.

Thus, the number of acres in one hectare is N=2.471088267.

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Most popular questions from this chapter

A watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. How accurate are these watches, expressed as a percentage?

Global positioning satellites (GPS) can be used to determine your position with great accuracy. If one of the satellites is 20,000 km from you, and you want to know your position to±2m, what percent uncertainty in the distance is required? How many significant figures are needed in the distance?

Four students use different instruments to measure the length of the same pen. Which measurement implies the greatest precision?

(a) 160.0 mm

(b) 16.0 cm

(c) 0.160 m

(d) 0.00016 km

(e) Need more information

The smallest meaningful measure of length is called the Planck length, and it is defined in terms of three fundamental constants in nature: the speed of light , the gravitational constant G=6.67×10-11 m3×kg-1×s-2, and Planck’s constant h=6.63×10-34 m2×kg×s-1. The Planck length ℓpis given by the following combination of these three constants:

ℓp=Ghc3

Show that the dimensions ofℓpare length [L], and find the order of magnitude ofℓp. [Recent theories (Chapters 32 and 33) suggest that the smallest particles (quarks, leptons) are ‘strings’ with lengths on the order of the Planck length,10-35 m. These theories also suggest that the ‘Big Bang’, with which the universe is believed to have begun, started from an initial size on the order of the Planck length.]

(a) How many seconds are there in 1.00 year? (b) How many nanoseconds are there in 1.00 year? (c) How many years are there in 1.00 second?
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