What would the length of wire have to be increased so it was everywhere 1 meter?

Mathematics
Tutor: None Selected Time limit: 1 Day

Suppso that a wire is stretched tightly around the Earth along the equator. (Assume that the Earth is a circle along the equator with a circumference of 40,000 km) Approximately how much would the length of the wire have to be increased so that it was everywhere 1 meter above the surface?

Apr 29th, 2015

Length of wire = 40000 km

Circumference of circle = 2πr

Circumference of circle = Length of wire

2πr = 40000

r = 40000/2π

r = 40000/(2*3.14)

r = 6369.427 km


The wire has to be 1 m above the surface.

1 m = 10^-3 km = 0.001 km

So new radius, R = r + 1 = 6369.427 + 0.001 = 6369.428 km


Length of wire required = 2πR = 2*3.14*6369.428 = 40000.00784 km


Increase in length = 40000.00784 - 40000 = 0.00784 km = 0.00784 * 1000 m = 7.84 m


So the wire has to be increased by 7.84 m .

 

Apr 29th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 29th, 2015
...
Apr 29th, 2015
Mar 29th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer