# Centripetal Acceleration and Force

## 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

$a_{centripetal} = {v^2 \over r} \\ F_{centripetal} = {mv^2 \over r}$

## 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
$a_{centripetal} = {70^2 \over 40} \\ a_{centripetal} = 122.5 m/s^2$

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

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.

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Doc Al
Mentor
Looks fine to me.

Looks fine to me.
OK, thanks :)

tiny-tim
Hi FaraDazed! looks ok to me, too wouldn't you expect to pull really hard? 