Calculating Mass for Centripetal Force at 100 km/h Speed with 350 m Radius Curve

In summary, the formula for finding the mass of a car and driver moving at a speed of 100 km/h through a curve with radius 350 m is M = (FC)(V^2)/R. After rearranging the equation, the mass is found to be 1.1 x 103 kg.
  • #1
Brittykitty
81
0
A 2.4 x 103 N force is necessary to keep a car and driver moving at a speed of 100 km/h through the middle of a highway curve that has a radius of 350 m. What is the mass of the car and driver?

Im really confused on this question, I was told the formula should be something like

FC=MV^2 / R

but how can I find the mass.

Help!
 
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  • #2
Yes that formula is correct, can you arrange it so that M alone is on one side of the equation?
 
  • #3
M=fc/r?
 
  • #4
Brittykitty said:
M=fc/r?

what happened to the v2?
 
  • #5
Im not sure :(

FC=MV^2 / R

M=(FC)(V^2)/R?
 
  • #6
Brittykitty said:
Im not sure :(

FC=MV^2 / R

M=(FC)(V^2)/R?


From Fc=mv2/r

if you multiply both sides by r and then divide by sides by v2, what do you get?
 
  • #7
I really have no idea :\
 
  • #8
Brittykitty said:
I really have no idea :\

If ab=c, what is b equal to ?
 
  • #9
not too sure..
 
  • #10
Brittykitty said:
not too sure..

Do you know how rearrange equations to make one variable the subject of the formula?
 
  • #11
Would it be

m = fc(r)/v^2

answer 1.1 x 103 kg ?
 
  • #12
That should be correct.
 
  • #13
That you so much! :):)
 

1. How do you calculate the mass needed for centripetal force at a speed of 100 km/h on a curve with a radius of 350 m?

To calculate the mass needed for centripetal force at a speed of 100 km/h on a curve with a radius of 350 m, you will need to use the formula: mass = (velocity^2 * radius) / (gravity * sin(angle)). This formula takes into account the speed, radius of the curve, and the angle of the curve to determine the necessary mass for centripetal force.

2. What is centripetal force and how does it relate to mass and speed?

Centripetal force is the force required to keep an object moving in a circular path. It is directed towards the center of the circle and is equal to the mass of the object multiplied by its speed squared, divided by the radius of the circle. This means that as the mass or speed of the object increases, the centripetal force needed to keep it in a circular path also increases.

3. How does the radius of the curve affect the necessary mass for centripetal force?

The radius of the curve directly affects the necessary mass for centripetal force. As the radius decreases, the necessary mass for centripetal force increases. This is because a smaller radius means a tighter curve, requiring a greater force to keep the object moving in a circular path.

4. What role does gravity play in calculating the mass for centripetal force?

Gravity plays a role in calculating the mass for centripetal force because it is one of the factors included in the formula. The gravitational force pulls the object towards the center of the circle, contributing to the overall centripetal force needed to maintain the circular motion.

5. Are there any safety considerations when determining the necessary mass for centripetal force?

Yes, it is important to consider safety when determining the necessary mass for centripetal force. If the calculated mass is too high, it could result in the object moving too quickly and potentially causing damage or injury. It is important to carefully calculate and test the necessary mass before implementing it for any type of circular motion.

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