A How many revolutions will a wheel make during a trip from

A. How many revolutions will a wheel make during a trip from Houston, Texas to Des Moines, Iowa?

B. If you were to bite a hole straight through the earth from Houston, Trxas you would come out how far from the Dushanbe, Tajikistan?(kilometers)

(a)

The distance from Houston, Texas to Des Moines, Iowa is 934 miles.

Consider the wheel to be 16in diameter. Distance covered in one revolution = pi*16 = 50.265in = 4.182*10^-6 miles.

Total number of revolutions = 934/(4.182*10^-6) = 22.3*10⁷ .

(b)

Distance from Dushanbe, tajikastan to Housten,Texas is 12,235 km.

Radius of earth is 6,371 km

So a hole inside earth will lead you to pi*6,371 from HOusten in direction of tajikastan.

Thus the distance between the place where you would come out and Tajikastan will be pi*6,371 - 12,235 = 7780 km.