Centripetal Acceleration and Force

[FaraDazed]

Homework Statement

A small truck of mass 1600kg rides in a circle of which has a radius of 40m at a constant speed of 70m/s

Calculate:
(a) its centripetal acceleration
(b)the centripetal force acting.

Homework Equations

$a_{centripetal} = {v^2 \over r} \\<br /> F_{centripetal} = {mv^2 \over r}<br />$

The Attempt at a Solution

I think I got the correct answers its just the figures seem absurdly high, so can someone check my understanding please?

So for part a
$a_{centripetal} = {70^2 \over 40} \\<br /> a_{centripetal} = 122.5 m/s^2$

And part b
$F_{centripetal} = \frac{1600 \times 70^2}{40} \\<br /> F_{centripetal} = \frac{7840000}{40} \\<br /> F_{centripetal} = 196kN$

The figures just seem to high to me, we only had one lesson on this so I may have taken down something wrong or might have misunderstood the question.

 

[Doc Al]

Looks fine to me.

 

[FaraDazed]

Looks fine to me.

OK, thanks :)

 

[tiny-tim]

Hi FaraDazed!

The figures just seem to high to me …

looks ok to me, too

imagine you had to pull on a rope to keep it in a circle …

wouldn't you expect to pull really hard? ​