Circular motion time/radius ratio question

In summary, the question is asking for the ratio of the centripetal acceleration of a car in a larger horizontal circle to that in a smaller horizontal circle. The answer is 8:1 and can be calculated using the formula (4pi^2*2R)/(T^2/4):(4pi^2*R)/T^2, where R is the radius and T is the time. The second car has a centripetal acceleration that is 8 times greater than the first car. There is also a mention of confusion about the purpose of the ratio and a comment about the availability of help on an online chat platform.
  • #1
d4nk1337sauce
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Homework Statement


16. A car completes a horizontal circle of radius r in time T. The same car then completes a larger horizontal circle of radius 2r in half the time. What is the ratio of the centripetal acceleration ac for the car in the second circle to that in the first circle a c2 a c1?

The Attempt at a Solution


iv never understood the whole ratio thing
i got (4pi^2*4R)/(T^2/4)
the answer is suppose 2 be 8:1 so i assume the second car is the 8

Ithink i got it actually (4pi^2*2R)/(T^2/4):(4pi^2*R)/T^2
that 8:1 did i do it right?
 
Last edited:
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also why isn't there anyone on flash chat?
 

1. What is circular motion?

Circular motion is a type of motion in which an object moves in a circular path around a fixed point. This type of motion is characterized by a constant speed and a changing direction.

2. What is the time/radius ratio in circular motion?

The time/radius ratio in circular motion refers to the relationship between the time it takes for an object to complete one full revolution around a circle and the radius of the circle. This ratio is equal to 2π, or approximately 6.28.

3. How is the time/radius ratio calculated in circular motion?

The time/radius ratio is calculated by dividing the time it takes for an object to complete one full revolution by the radius of the circle. This can be represented by the equation T/r = 2π, where T is the time and r is the radius.

4. What is the significance of the time/radius ratio in circular motion?

The time/radius ratio is significant because it helps determine the speed of an object in circular motion. It also allows us to calculate other important quantities, such as velocity and acceleration, in circular motion.

5. How does the time/radius ratio change with different radius sizes?

The time/radius ratio remains constant regardless of the radius size. This means that the time it takes for an object to complete one full revolution around a circle is always proportional to the radius of the circle, no matter how big or small the circle is.

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