Un automovil que viaja al este aumenta su velocidad de 30 km/h a 60 km/h en 4 segundos. Calcula su aceleración.

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Ответ:

feefee945

17.04.2022

Physics

The angular displacement is $\theta = 28.33 \ rad$

Explanation:

From the question we are told that

The speed of the driver is $v =13 \ m/ s$

The acceleration of the driver is $a = 1.02 \ m/s^2$

The time taken is $t = 0.70 \ s$

The radius of the tire is $r = 33 cm = 0.33 \ m$

The distance covered by the car during this acceleration can be calculated using the equation of motion as follows

$s = v*t +\frac{1}{2} * a * t^2$

Now substituting values

$s = 13 * 0.70 +\frac{1}{2} * 1.02 * (0.700)^2$

$s = 9.35 \ m$

Now the angular displacement of the car with respect to the tire movement can be represented mathematically as

$\theta = \frac{s}{r}$

substituting values

$\theta = \frac{9.35}{0.33}$

$\theta = 28.33 \ rad$

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