qwertghjkl986 qwertghjkl986
  • 08-01-2020
  • Mathematics
contestada

If a car wheel has a 14 inch radius through what angle does the wheel turn when the car rolls forward 5ft?

Respuesta :

aristeus aristeus
  • 09-01-2020

Answer:

Angle will be 4.285 radian in degree it will be equal to [tex]245.677^{\circ}[/tex]

Step-by-step explanation:

We have given radius of the car wheel r = 14 inch

And car rolls forward by 5 feet

So arc = 5 feet

We know that 1 feet = 12 inches

So 5 feet = 5×12 = 60 inches

Arc is equal to [tex]arc=radius \times angle[/tex]

So [tex]60=14\times \Theta[/tex]

[tex]\Theta =4.285radian[/tex]

[tex]=4.285\times \frac{180}{\pi }=245.677^{\circ}[/tex]

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