Question

find the maximum speed at which a car can turn round a curve of 30 m radius on a level road if the coefficient of friction between the tyres and the road is 0.4. (acceleration due to gravity = 10 ms–2)

Answer 1

Given:

Radius of curve $r = 30$ m

Coefficient of friction $\mu = 0.4$

Acceleration due to gravity $g = 10 \frac{m}{s^{2} }$

To Find:

Maximum speed,

Frictional force is given by,

  $F = \mu m g$

Where $F =$ Centripetal force

   $\frac{mv^{2} }{r} = \mu m g$

  $v = \sqrt{\mu g r}$

  $v = \sqrt{30 \times 10 \times 0.4}$

  $v = 10.95 \frac{m}{s}$

Therefore, the maximum speed at which a car can turn round is 10.95 $\frac{m}{s}$

Answer 2

Answer:

the maximum speed

the maximum speed at which a car can turn round a curve of 30 m radius on a level road if the coefficient of friction between the tyres and the road is 0.4. (acceleration due to gravity = 10 ms–2)