the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour. What is the radius, in inches, of the wheels of the truck

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25-02-2022
Mathematics

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the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour. What is the radius, in inches, of the wheels of the truck

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oladayoademosu oladayoademosu · Answer 1 · 2022-03-11T09:46:36+01:00

The radius of the wheel is 140.06 inches

Since the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour, we need to find the distance mover per revolution.

Distance moved per revolution by wheel

So, distance moved per revolution = speed of truck ÷ revolutions per minute

Speed of truck = 50 miles per hour

Converting to inches per min, we have

= 50 × 63360 in/hr ÷ 1 hr/60 min

= 3168000 in/60 min

= 52800 in/min

revolutions per min = 60 rev/min

So, substituting the variables into the equation, we have

distance moved per revolution = 52800 in/min ÷ 60 rev/min

= 880 in/rev

Circumference of the wheel

Since the distance moved per revolution is the circumference of the wheel, C we have that

C = 2πr where r = radius of wheel

Radius of the wheel

Making r subject of the formula, we have

r = C/2π

Since C = 880 in

Substituting the value of the variable into the equation, we have

r = C/2π

r = 880 in/2π

r = 440 in/π

r = 140.06 in

So, the radius of the wheel is 140.06 inches

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