To find the speed of the car, we need to use the formula:
speed = (RPM * tire diameter * pi * gear ratio) / (336 * 12)
where:
RPM is the engine speed in revolutions per minute
tire diameter is the diameter of the tires in inches
pi is the mathematical constant pi (approximately 3.14)
gear ratio is the ratio of the number of teeth on the driven gear to the number of teeth on the driving gear
336 is a constant representing the number of inches per minute that a car will travel at 1 mile per hour
12 is a constant representing the number of inches in a foot
Plugging in the given values, we get:
speed = (2690 * 27 * 3.14 * 3.2) / (336 * 12)
simplifying the equation, we get:
speed = 63.8 mph (rounded to one decimal place)
Therefore, the car will travel at a speed of approximately 63.8 miles per hour