Uniform Circular Motion of a tire

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SUMMARY

The discussion centers on calculating the linear velocity of a car based on the uniform circular motion of a tire with a frequency of 28 Hz and a diameter of 40 cm. The correct formula used is V = 2πrf, where r is the radius in kilometers. The accurate calculation yields a velocity of 11.2 km/hr, not the previously stated 126.669 km/hr, indicating a misunderstanding in unit conversion and radius calculation.

PREREQUISITES
  • Understanding of uniform circular motion
  • Familiarity with the formula V = 2πrf
  • Knowledge of unit conversion (cm to km)
  • Basic grasp of frequency and its implications in motion
NEXT STEPS
  • Review the concept of uniform circular motion in physics
  • Practice unit conversion between centimeters and kilometers
  • Explore the implications of frequency in circular motion
  • Learn about angular velocity and its relationship to linear velocity
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts of circular motion and velocity calculations.

Muneerah
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Homework Statement



A point on the outer rim of a tire on a moving
vehicle exhibits uniform circular motion with
a frequency of 28 Hz. The diameter of the tire
is 40 cm.
How fast is the car moving?
Answer in units of km/hr.

Homework Equations



V=2 pi r f

The Attempt at a Solution



The first thing I did was finding the frequency in terms of hrs, and I got 100800 revelotions per hr. Then I found converted the radius to km so I got .0002 km. Then I found the velocity which is, 2 pi r f = 126.669 km/hr. My answer is wrong, I don't know what it is that I did wrong so if you can please help. Thank you
 
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Muneerah said:

Homework Statement



A point on the outer rim of a tire on a moving
vehicle exhibits uniform circular motion with
a frequency of 28 Hz. The diameter of the tire
is 40 cm.
How fast is the car moving?
Answer in units of km/hr.

Homework Equations



V=2 pi r f

The Attempt at a Solution



The first thing I did was finding the frequency in terms of hrs, and I got 100800 revelotions per hr. Then I found converted the radius to km so I got .0002 km. Then I found the velocity which is, 2 pi r f = 126.669 km/hr. My answer is wrong, I don't know what it is that I did wrong so if you can please help. Thank you

I'm getting the same answer. If I had to guess, your book/teacher probably miscalculated or had a typo.
 

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