Question

If a car has a centripetal acceleration of 7m/s2 over a radius of 7m. How fast is it going

Answer 1

Answer:

7 m/s (agrees with answer a in your list)

Explanation:

Recall that the centripetal acceleration is defined by the square of the tangential velocity divided by the radius of the rotational motion:

$a_c=\frac{v_t^2}{R}$

then the tangential velocity is extracted from here as:

$a_c=\frac{v_t^2}{R} \\v_t^2=a_c * R\\v_t=\sqrt{a_c * R}$

in our case, this becomes:

$v_t=\sqrt{7*7} = 7 \,\,m/s$