SOLUTION: A 5-ton truck moving at a constant speed of 20 m/s takes a turn around a circular path with a radius of 50 m. Find the acceleration and the net force on the truck.

Algebra ->  Vectors -> SOLUTION: A 5-ton truck moving at a constant speed of 20 m/s takes a turn around a circular path with a radius of 50 m. Find the acceleration and the net force on the truck.      Log On


   

Question 1175339: A 5-ton truck moving at a constant speed of 20 m/s takes a turn around a circular path with a radius of 50 m. Find the acceleration and the net force on the truck.
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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I will assume that you use the metric system consistently in this problem, so 5 ton means 5000 kilograms of mass. 

    To find the centripetal acceleration, use the formula  a =  v%5E2%2Fr,

    where v is the linear velocity (in m/s) and r is the radius of the circle (in meters).



    To find the net force, multiply the mass of 5000 kg by the centripetal acceleration.


    You will get the force in newtons.


If you need an authoritative source, look into this Wikipedia article

https://en.wikipedia.org/wiki/Circular_motion#:~:text=Consider%20a%20body%20of%20one,second%2C%20which%20is%20one%20newton.