A convertible is traveling at 45miles per hour and it’s wheels have a diameter of 48 inches . How many complete revolutions do the wheels make in one minute

315.3 min^-1

Step-by-step explanation:

Given the following :

Speed = 45miles per hour

Diameter of wheels = 48inches

Number of complete revolutions the wheel makes in one minute =?

Since wheel diameter is in inches, we convert speed (miles/hour) to inch per minute

1 mile = 63360 ; 60minutes = 1 hour

45 miles / hour = (45 × 63360) / 60

= 2851200 inch/60 min

= 47520inch/min

Distance covered per revolution:

Circumference of a circle (C) = 2πr

Where r = radius ; r = diameter / 2

r = 48/2 = 24 inches

C = 2 * 3.14 * 24 = 150.72inches

Number of revolutions per minute:

Speed per minute / distance covered per revolution

(47520inch/min)/ (150.72 inch)

= 315.286 min^-1

eve and marks ratios are equivalent

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