A car is traveling at a constant speed on the highway. Its tires have a diameter of 61.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 51.0 rad/s , what is the speed of the car, in SI units

Respuesta :

Answer:

The value is [tex]v = 15.6 \ m/s[/tex]

Explanation:

From the question we are told that

  The diameter of the  tire is [tex]d = 61.0 \ cm = 0.610\ m[/tex]

   The angular speed of the tire is  [tex]w = 51.0 \ rad/s[/tex]

Generally the radius of the car tire is mathematically represented as

      [tex]r = \frac{d}{2}[/tex]

=>  [tex]r = \frac{ 0.61 }{2}[/tex]

=>  [tex]r = 0.305 \ m[/tex]

Generally speed of the car is mathematically represented as

     [tex]v = w * r[/tex]

=> [tex]v = 51.0 * 0.305[/tex]

=> [tex]v = 15.6 \ m/s[/tex]

Q&A Education