Question

What is the centripetal acceleration component? Magnitude

Answer 1

please see below

Explanation:

The automobile's tangential acceleration is `a=0.500 ms^-2`(given,as rate of increase in velocity=acceleration)

)At an instant when the instantaneous speed of the automobile is `v=4 ms^-1`

It's, centripetal acceleration(`a'`) = `v^2/r = 16/20 =0.8 ms^-2`

And,total acceleration = `sqrt(a^2 + a'^2)=0.943 ms^-2`

Making an angle of `tan^-1((a')/a)=58^@` w.r.t the automobile's path.