Centripetal Acceleration Problem HELP

Click For Summary
SUMMARY

The centripetal acceleration of a point on the perimeter of a bicycle wheel with a diameter of 70 cm, when the bike is moving at a velocity of 7.0 m/s, is calculated using the formula a = v² / r. The correct radius is 0.35 m, derived from dividing the diameter by 2. The accurate calculation yields a centripetal acceleration of 180 m/s², indicating that the initial calculation of 140 m/s² was incorrect due to a misunderstanding of unit conversion and radius determination.

PREREQUISITES
  • Understanding of centripetal acceleration formula (a = v² / r)
  • Knowledge of unit conversion (cm to m)
  • Basic geometry (calculating radius from diameter)
  • Familiarity with kinematic equations
NEXT STEPS
  • Review the derivation of centripetal acceleration in circular motion
  • Practice unit conversion between centimeters and meters
  • Explore examples of centripetal acceleration in real-world scenarios
  • Study the effects of varying velocity on centripetal acceleration
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding circular motion dynamics.

Sucks@Physics
Messages
76
Reaction score
0
I don't know what I'm doing wrong on this one...

What is the centripetal acceleration of a point on the perimeter of a bicycle wheel of diameter 70cm when the bike is moving 7.0m/s.

isn't centripetal acceleration just v^2 / r?

I get 140m/s^2, but the answer is 180m/s^2
 
Physics news on Phys.org
did you convert 70 cm into metres? And also 70 cm is the diametre, to get the radius you hve to divide the Diametre by 2..
 
yea i did. .35 = radius 7=velocity 7^2/.35 = 140m/s^2
 

Similar threads

Finding proper value for centripetal acceleration in a plane rising up
  • · Replies 16 ·
Replies
16
Views
1K
Uniform Circular Motion: Tension Force at Top of Circle
  • · Replies 4 ·
Replies
4
Views
1K
Tangential acceleration and centripetal acceleration
  • · Replies 5 ·
Replies
5
Views
3K
What actually is the centripetal acceleration formula?
  • · Replies 28 ·
Replies
28
Views
3K
Gravitation sum related to Centripetal Acceleration
  • · Replies 5 ·
Replies
5
Views
3K
Conservation of energy, centripetal acceleration, kinematics
  • · Replies 3 ·
Replies
3
Views
2K
Calculating Centripetal Acceleration of a Locomotive's Crank Pin
  • · Replies 1 ·
Replies
1
Views
2K
Centripetal force throughout a vertical circle
  • · Replies 9 ·
Replies
9
Views
5K
Circular Motion Questions (energies, forces, angular velocities, etc.)
  • · Replies 2 ·
Replies
2
Views
2K
Rearranging gravitational and centripetal equations to derive formulas
  • · Replies 3 ·
Replies
3
Views
3K