SOLUTION: Tires: Wheels are 1.25 inches in diameter Fastest speed is 3ft/sec Maximum distance is 16 x (18 cm) 1) How many times does the wheel turn to travel the maximum distance? 2) Ho

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Question 668337: Tires:
Wheels are 1.25 inches in diameter
Fastest speed is 3ft/sec
Maximum distance is 16 x (18 cm)
1) How many times does the wheel turn to travel the maximum distance?
2) How long does it take to travel the maximum distance at full speed?
3) What is the acceleration needed to travel the maximum distance when starting from a standstill?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Wheels are 1.25 inches in diameter
Fastest speed is 3ft/sec
Maximum distance is 16 x (18 cm)
1) How many times does the wheel turn to travel the maximum distance?
1.25 in = 3.175 cm
Circum = pi*d = 3.175pi cm
# of revs = 288/3.175 =~ 90.709
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2) How long does it take to travel the maximum distance at full speed?
r = 3ft/sec = 91.44 cm/sec
t = d/r = 288/91.443.15 seconds
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3) What is the acceleration needed to travel the maximum distance when starting from a standstill?
Any acceleration > 0 will do.