Centripetal Acceleration and Force

  • Thread starter FaraDazed
  • Start date
  • #1
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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


[itex]
a_{centripetal} = {v^2 \over r} \\
F_{centripetal} = {mv^2 \over r}

[/itex]

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
[itex]
a_{centripetal} = {70^2 \over 40} \\
a_{centripetal} = 122.5 m/s^2
[/itex]

And part b
[itex]
F_{centripetal} = \frac{1600 \times 70^2}{40} \\
F_{centripetal} = \frac{7840000}{40} \\
F_{centripetal} = 196kN
[/itex]

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.
 

Answers and Replies

  • #2
Doc Al
Mentor
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1,254
Looks fine to me.
 
  • #4
tiny-tim
Science Advisor
Homework Helper
25,832
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Hi FaraDazed! :wink:
The figures just seem to high to me …
looks ok to me, too :smile:

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

wouldn't you expect to pull really hard? :wink:
 

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