VanillaAngelic
VanillaAngelic VanillaAngelic
  • 24-07-2017
  • Mathematics
contestada

If the wheels of a train make 16 revolutions when it rolls a distance of 60 feet, what is the radius of the wheel?

Respuesta :

jimthompson5910 jimthompson5910
  • 24-07-2017
16 revolutions = 60 feet
(16/16) revolutions = (60/16) feet
1 revolution = 3.75 feet

This means that when the train wheel rotates a full 360 degrees, the train has moved 3.75 feet. Put another way, the circumference around the train wheel is 3.75 feet.

C = 3.75

We'll use this C value to find the radius r

C = 2*pi*r
3.75 = 2*pi*r
r = 3.75/(2*pi)
r = 0.5968 (this is approximate rounded to 4 decimal places)

Therefore the radius of the wheel is approximately 0.5968 feet
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