Physics
MissouriRebel52
27

A truck is moving around a circular curve at a uniform velocity of 13 m/s. If the centripetal force on the truck is 3300 N and the mass of the truck is 1600 kg, what's the radius of the curve?

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(1) Answers
Abbiejolliff

Well, first of all, the truck's velocity is constantly changing, not 'uniform'. Velocity consists of speed and direction.  So, even if the truck's speed is constant, its direction keeps changing as long as it's on a circular curve, so its velocity is constantly changing. The force needed to keep a mass moving in a circle is                                  F = (mass) x (speed)² / (radius)                                                     3300 N  =  (1600 kg) (13 m/s)² / R                            3300 kg-m/s²  =  (1600 kg) (169 m²/s²) / R                            R  =  (1600 kg) · (169 m²/s²) / (3300 kg·m/s²)                                =  (1600 · 169 / 3300)  meters                                =        81.9  meters     

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