Calculating Centripetal Acceleration for a Frisbee in Circular Motion

In summary, to calculate centripetal acceleration for a Frisbee in circular motion, you need to know the mass of the Frisbee (m), its angular velocity (ω), and the radius of the circular path (r). The formula for centripetal acceleration is a = ω^2 * r. Centripetal acceleration is the acceleration towards the center of a circular path, while tangential acceleration is the acceleration in the direction of the velocity vector. Centripetal acceleration is always positive because it is directed towards the center of the circular path. A heavier Frisbee may require a larger centripetal force and therefore a larger centripetal acceleration. The unit of measurement for centripetal acceleration is meters per second
  • #1
GensisLee
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You throw a Frisbee to your friend. The Frisbee has a diameter of 28.0cm and makes one turn in 0.110s. What is the centripetal acceleration at its outer edge?
ac=4π2r/T2
I actually know the answer and how to solve this question...
ac=4π2r/T2
ac=π2(0.14m)/(.100s)2
= 4.57 x 102 m/s2
My question is why is how 0.110s is changed to 0.100s ?
 
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  • #2
Typo?
 

1. How do you calculate centripetal acceleration for a Frisbee in circular motion?

To calculate centripetal acceleration for a Frisbee in circular motion, you need to know the mass of the Frisbee (m), its angular velocity (ω), and the radius of the circular path (r). Then, you can use the formula: a = ω^2 * r, where a is the centripetal acceleration.

2. What is the difference between centripetal acceleration and tangential acceleration?

Centripetal acceleration is the acceleration towards the center of a circular path, while tangential acceleration is the acceleration in the direction of the velocity vector. In other words, centripetal acceleration affects the direction of motion, while tangential acceleration affects the speed of motion.

3. Can centripetal acceleration be negative?

No, centripetal acceleration is always positive because it is directed towards the center of the circular path. If the velocity vector changes direction, the centripetal acceleration will also change direction, but it will always be positive.

4. How does the mass of the Frisbee affect the centripetal acceleration?

The mass of the Frisbee does not directly affect the centripetal acceleration. However, a heavier Frisbee may require a larger centripetal force to maintain a circular motion, which in turn would result in a larger centripetal acceleration.

5. What is the unit of measurement for centripetal acceleration?

The unit of measurement for centripetal acceleration is meters per second squared (m/s^2). This is the same unit used for other types of acceleration, such as gravitational acceleration.

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