Not sure how to get started on on prob

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To calculate the velocity of a truck weighing 6000 lb navigating a curve with a radius of 650 feet, centripetal acceleration and force concepts are essential. The maximum friction force the road can exert is 1125 lb, which provides the necessary centripetal force. Using the formula F = ma, where the friction force equals mass times centripetal acceleration, the equation can be set up as 1125 lb = 6000 lb * (v^2 / 650 ft). Solving this yields a velocity of approximately 11.04 ft/sec. This calculation is crucial for understanding the dynamics of the truck's motion on the curve.
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A truck weighs 6000 lb. The truck is going around a curvewith a radius of 650 feet. The maximum friction force the road can exert on the tires is 1125 lb. it wants me to calculate the velocity in ft/sec

I am sort of lost on this an y help would be great

thanks
 
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Think about centripetal acceleration & centripetal force.

What is needed to keep the truck moving along that curve, and what can the road provide?
 
still having problems

right now the only thing I know what to do is I converted the items that are in pounds to Kg. and feet to m

struggling
 
OK, centripetal acceleration is given by v^2/r.

And by Newton's second law, we know that F=ma. Since the car is moving in a circular path, he is accelerating. The only force that is pointing towards the center of the circle is friction. So:
F=ma
Force of friction = m*(v^2/r)
1125lb = 6000lb*(v^2/650ft)
v=11.039701082909808568455053408699 ft/s
 
x

thanks a lot i have been trying to catch up on all the homewok and study for my physics final

thanks again
 

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