Rotational Kinematics

  • #1

Homework Statement


Given a bicycle that is moving at a constant speed of 15.6 m/s with a wheel radius of .32 m...
A. How long will it take the wheel to rotate 19 times?
B. What angle in radians will the wheel rotate in 2.33 minutes?


Homework Equations


theta=angular velocity*time
s=radius*theta


The Attempt at a Solution


I need help understanding how to use what is given to plug it into the equations or if these equations are relevant to the problem. Thank you!
 

Answers and Replies

  • #2
648
2
A. Just think of the circumference of the wheel.
C=2pi r
What is the length of 19 circumferences?
How long will it take the bicycle to travel that distance if it is going at 15.6m/s?

B. How far does the bike travel in 2.33 mins? [You know its speed, convert time to seconds?]
You know the circumference of the wheel, so how many times must it spin to cover this distance?
Each time it spins it turns through 360 degrees, or 2pi radians.
 

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