How Many Revolutions Does a Tire Make Before Wearing Out?

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SUMMARY

The discussion centers on calculating the number of revolutions a tire makes before wearing out, given a distance of 98,000 km and a tire radius of 0.35 m. The formula for the number of revolutions is derived from the relationship between distance traveled and the circumference of the tire. Additionally, a second problem involves determining the number of revolutions a diver makes while falling from a height of 7.1 m with an average angular speed of 1.0 rev/s, requiring the calculation of time in free fall to find the total revolutions.

PREREQUISITES
  • Understanding of rotational motion concepts
  • Familiarity with the formula for circumference (C = 2πr)
  • Knowledge of kinematic equations for free fall
  • Basic grasp of angular velocity and its relation to linear distance
NEXT STEPS
  • Calculate the number of revolutions for a tire using the formula: Revolutions = Distance / Circumference
  • Learn about kinematic equations for objects in free fall to determine time and distance
  • Explore the relationship between linear and angular motion in physics
  • Study examples of rotational kinematics to solidify understanding of angular speed
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and rotational motion, as well as educators seeking to clarify concepts related to angular velocity and kinematics.

rockmorg
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Hey all I have a couple questions about some homework that I've been working on...

1 -
The warranty on a new tire says that an automobile can travel for a distance of 98,000 km before the tire wears out. The radius of the tire is 0.35 m. How many revolutions does the tire make before wearing out?

I've been trying to use Tangential Velocity (Vt) = rw to somehow solve this because I did a similar problem just before it like this, no avail...

2-
At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 7.1 m above the water. One diver runs off the edge of the cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.0 rev/s. Ignore air resistance and determine the number of revolutions she makes while on the way down.

Supposedly, I should be able to do this with a rotational kinematics equation... but it just is not working out. I'm guessing I need the time in the air so I can find the number of revolutions during that time...

Grrr... any help would be appreciated, thanks!

-
Morgan
 
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I'm going to reply to my own post and let everyone know I did a nifty search and found help for my problems, yay! Thanks to all those who checked out my post...

-
Morgan
 

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