Question

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

a. 7 m/s
b 1 m/s
с o m/s
d 49 m/s​

Answer 1

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

Step-by-step 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=(v_t^2)/(R)`

then the tangential velocity is extracted from here as:

`a_c=(v_t^2)/(R) \\v_t^2=a_c * R\\v_t=√(a_c * R)`

in our case, this becomes:

`v_t=√(7*7) = 7 \,\,m/s`